Q: Find the derivative of y = x3 – 6x², using first principle.

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Q: Find second derivative of f(x) =6x^2+7x+1

A: We have to find second derivative of  f(x) = 6x2+7x+1 Then , f'(x) = 12x + 7

Q: find the derivative of - (z+j)?

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Q: Find the derivative of f(x) = tan tan (3x2+2x)( Ans: (6x + 2) sec2 (3x2+2x) solution?

A: Let,

Q: Find the derivative of the function using Chain Rule. h(x) = (2x-6)-¹ (x²+3)

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Q: Determine the derivative of f(x) = Cosh(5 x) csc(x)

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Q: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

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Q: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

A: Solve for the derivative of the function using chain rule. 9. f(x)= esinx

Q: Find the Derivative of f(x)= tan(- -3

A: We have to find the derivative of function: fx=tan x3x2-3 We know the formula of derivatives, d tan…

Q: Find second derivative of f(x) = 7x-15

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Q: f(x)= xe* In(x³)

A: f(x)=xe-xln(x3)According to question we have to calculate the derivative of the function.

Q: Find the derivative of the function. y = In(x8)

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Q: show that nth derivative of  f(x)=x^2/(2x+1)(2x+3)

A: nth derivative of f(x)=x2(2x+1)(2x+3) f(x) can be written as by using synthetic division method…

Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

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Q: 7) f(x) = 3e In x %3D

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Q: Find the derative: yain Jx2+4x+1 derivative.

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Q: On which derivative rule is the Substitution Rule based?

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Q: 4. Find the 2nd derivative of f(x)=14-x (x)%3D

A: The give function is fx=4-x

Q: Find second derivative of f(x) = 2x^2+5x-1

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Q: 3. Find the derivative of f (x) = 2x²e² tan x.

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Q: S(x)= Jx-5

A: given that f(x)=1x-5 find the derivative from first principle f'x=limh→0 fx+h-fxh

Q: 2) Find the derivative of the function f(x) = (x³ – tan(4x² – 2)* |

A: Given :            To find the derivative of the given function                f(x) = x3 -…

Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

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Q: Find the derivative of the function using Chain Rule. (2x-6)-¹ (x²+3) h(x)=

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Q: Find the derivative of f(x)=x tan x- cSc x.

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Q: derivative of f(x)= 3sin2x

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Q: Find the derivative of f (x) = ln| x3 - 10x2 + 8| .

A: Given        f(x)=lnx3-10x2+8

Q: Find the derivative of the function f(x) = {x3 - tan tan (4x2 -2)}4

A: The question is taken from the calculus in which we have to find the derivative of given function We…

Q: Find the derivative of the function. (x) - In(4 - x") f'(x) -

A: Find the derivative of the function.      fx=ln4-x8

Q: Compute the derivative of ln r3 –1 V2x+5x²

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Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.

Q: Find the derivative of f(x)= (x^2)sinx

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Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

Q: calculate the 21st derivative of function f(x) = 20-x

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Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: Find the derivative of flx) = x 1x \ - Does plo) exist

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Q: Find the derivative of f(x) = e" – a3 +In(x) - In(x)

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Q: Find the derivative of the function using Chain Rule. Given f(x)=(x²+x-3)√√x²+x-3

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Q: Solve for the derivative of the function using chain rule. 14. f(x)= 3lnx 15. f(x)= cos(cosx))

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Q: Calculate the third derivative of the function y%-xe-",

A: To find the third order derivative we use product rule of derivative formula. From the product rule…

Q: he first derivative of f(x) = ln(5X4 - 6x) will be

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Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: In(X+ bnx) %3D

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Q: calculate the first four derivatives of xe^(-x)

A: Here, we use product rule of differentiation which states that (uv)'=uv'+u'v, to get the derivative.

Q: In(x-

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Q: Find the derivative of f(x)=5-x/2sin2x

A: Consider the given function.

Q: Find the derivative of the function f(x) = 6x2 - 6 cosx

A: the given function f(x)=6x2-6 cos x

Q: Find the derivative of F(x) = tan (5x + 7), by first principle of differentiation

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Q: flx)= -e, 1-x2 1-e

A: To find The derivative of f(x).

Q: Find the 2nd derivative of f(x) = √2x-x²

A: