Find the approximate value of derivative f'(0) with the step size h for the following function by using three point end point formula: f(x)=tan°(), h=} 2 10 3 O -2

Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 1. y Arctan- 3-V9-x2 2. y= 4 Arccos +…

A: 1.   From the given problem:   y=Arctanx3-9-x2   As we know:   d2ydx2=ddxdydx   So,…

Q: Find the actual error when the first derivative of f(x) = sin(2x) at x = 1/8 is approximated by the…

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Q: Find the derivative dydx for the function x=sin2t, y=−cost at the point t=π6.

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Q: find the derivative of y with respect to the appropriatevariable. y = sin-1 3/t2

A: We differentiate with respect to t using chain rule.

Q: Find the second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

Q: y = (4x– 1)³

A: Consider the given function: y=4x-13 To find the first derivative with the respect to x:…

Q: Find the 1st derivative: Complete Solution.  y=2cos2 t/2

A: y=2cos2 t/2

Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

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Q: 5. y= 2arctan(vx)

A: We need to evaluate the derivative of the following function y = 2arctanx

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. у 3 ; d'y/dx

A: Question 1,Given,            y=x2-3x3xTo find : d3ydx3

Q: Use the chain rule to find the derivative of the function z = x2y3 − x along the curve given by x =…

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Q: find the derivative using the appropriate rule or combination of rules. y = (cos 6x + sin x2)1/2

A: We have to find the derivative of the function: y=cos 6x+sin x212 We know the formula of…

Q: Find the derivative with respect to the independent variable. f(x) = cos (- 23x) f'(x) =

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Q: (x-y) atfy (1, 1) a+y

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Q: . Find the derivative with respect to x: y = tan¬(Vx² –- 1) + csc¯²(x),x > 1

A: Given thaty=arctanx2-1+arccscx To find its derivative

Q: find the derivative of y with respect to the appropriatevariable. = sin-1 (1 - t)

A: Given Trigonometric Expression: sin-11-t We can differentiate this trigonometric function with the…

Q: 2) Find the first derivative: a) y = cot * (3x² +7)

A: Differentiate wrt x

Q: Find the derivative with respect to t. y= csc-1(et)

A: Given:

Q: find the derivative of y with respect to the appropriatevariable. y = sinh-1 √x

A: Find the derivative of y with respect to the appropriate variable.

Q: Find a function y=f(x) whose second derivative is y''=12x-2 at each point (x,y) on its graph y=-x+5…

A: The second derivative of the function, y and tangent to the graph of y is given as,

Q: Find the derivative with respect to x: y = tan(Vx2 – 1) + csc-(x),x > 1

A:

Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (x2)

A: Given function is y=cos-1x2. Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: Find the derivative using the appropriate rule or combination of rules. y = x cos(1 − 3x)

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Q: find th first derivative: x=2cos2 t/2

A: we need to find the first derivative of

Q: find the derivative of y with respect to the appropriatevariable. y = 6 sinh x/3

A: Given function: y=6sinhx3 Using the common differentiation of hyperbolic function: dsinhaxdx=acoshax

Q: 1) Find the second derivative of f(x)= 24\x . (6) 2) If y = cos x, what is y (x)?

A: To find the derivatives of the given functions.

Q: 1+ cos x y = In 1-cos x

A: This question is based on chain rule differentiation.

Q: Find the derivative of the function defined by the equation x+y=arctan(xy).

A: To find the derivative of the given function.

Q: Find the derivative for x+1 a)f(x)=- x-4 b)f(x)= sin' 2x Show the work on your notebook, take a…

A: (a) To find: The derivative of fx=x+1x2-4. Formula used: Quotient rule of derivative:…

Q: What is the approximate derivative of f(x) = x2e* , using backward-difference approach at %3D x-2…

A: The main objective is to calculate the value of the derivative of the function f(x)=x2ex at the…

Q: y = e* - cos 3x + xlog.(1+x)

A: By using some formula of derivative

Q: To begin with, calculate the first derivative f'(x) = Now use this derivative to find the critical…

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Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 (2s + 1)

A: The given function is y=sec-12s+1.

Q: Use Richardson extrapolation to estimate the first derivative of Y = sin x at * = π/4 using step…

A: Given the function  y=sinx

Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: find the 2nd derivative of the function defined implicity by the equation x^1/3+y^1/3=80

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Q: Find the equation of the tangent line to the function f(x) = x² – 2 at the point (1,-1). You must e…

A: Given, fx = x4 -2  We have to find the equation of the tangent line to function at the point 1, -1.

Q: find the derivative of y with respect to the appropriatevariable. y = sin-1√2 t

A: To find the derivative of y=sin-12t

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 3x-4 1. Y= Arctan

A: To find second derivative of the given function.

Q: Consider the function f(x) = x³ Q 2: Calculate its first derivative at point x = 3 numerically with…

A: We have given , f(x) = x3

Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 x/2

A: We have to find derivative of y with respect to the appropriate variable: y=cosec-1x2 Rewriting the…

Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: find the derivative of y with respect to the appropriatevariable. y = 1/2 sinh (2x + 1)

A: We have to find derivative of y with respect to the appropriate variable: y=12 sinh 2x+1 We know…

Q: b) y = cosh(2Vx+1)

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Q: Find the derivative using the appropriate rule or combination of rules. y = (cos 6x + sin x2)1/2

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Q: Obtain the first derivative of the function f (x) = sinx/x using Richardson's extrapolation with h =…

A: Given  f(x) = sinxx we have to obtained the first derivative of f(x) by using  Richardson's…

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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Q: y = sin(3x²) cos(3x²)

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Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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