Find the derivative of f (x) = V3x² In(3x²). 2/3x2 A 3x In(3x²) + V3x2 2 + 3x In(3x²) В

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

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Q: Find the derivative of f(x) = (3x – 2x?)’using the chain rule %3D

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Q: Find the derivative of arctan(x² + 1) -2x O f' (x) = -2a2 – a4 2x f' (æ) = x² +2 2x f' (x) x4+2x²+2…

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Q: Find the derivative of f (x) = csc-1(e2x²) - 4x A 2x2 ‚4x 2 4x B 4x 2 - 1 - 4x 4x2 4х D Ve42

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Q: 5. Find the first derivative of y = (2x³ – 1)5Vx² – 1 %3D

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Q: Find the derivative of f(x) = In(x² + 1) %3D

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Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: 5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

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Q: Find the derivative of y = x2-1/2cosx

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

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

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

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Q: Find the derivative of f (x) = 9x − 5 at x = 2 and x = 5.

A: The derivative of a function f(x)  at a point a  can be calculated by applying the value a   to the…

Q: Find the derivative of the function. y=x5 7 3x7 O y'=- 2x3.7 O Y'33 O Y'=. 2x3.7 O Y'=. 3x7 + 5x4…

A: Given, y=x5x3+7

Q: What is the first derivative of f(x) = ]n( 3x´+7x 5x

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Q: 3) Find the derivative of f (x) = Vx3 – 4x² dv

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Q: 3) Find the derivative f(x) = xe-*In(x³) %3D

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Q: Determine the derivative of the following functions using chain rule. 3 * 1. f (x) = (2x² – 2x + 1)…

A: 1.f(x)=(2x2-2x+1)3 2. f(x)=5x3-8x2+9x-6

Q: Find the derivative of f (x) = (=7 – 4z) (= ² + 4z – 1).

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

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Q: Find the relative extrema of the function f(x)= x2+3x+4 using first derivative test.

A: fx=x2+3x+4 To find extrema of function.

Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Find the derivative and simplify exy -x² = 4Y² %3D

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Q: 3. Find the derivative of f(x) = x2020 – 2019.x" – 7x3 – 9x + en".

A: To Determine: Find the derivative of f(x)

Q: Find the derivative of x2cosx+2xsin x O 2xcos x O x² sin x + 2xcos x Ọ xzcosx y=x²sinx

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Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

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Q: 1 Find the derivative of (Vx-3x) x+= X

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Q: Find the derivative of y=x²sin⁴x+xcos²x

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Q: 2. Find the derivative of A(x) = L% V1– x³dx

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Q: Find the derivative of f(x) = 9 sinh-' (x²) – 9 In ( Vx4 + 1). %3D

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Q: f(x) = 5x* – 6Vx² + 유+ 18 x7

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Q: Find the derivative of y = xArcsinx + V1 – x².

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Q: The 7th derivative of ƒ(x) = 3ñx³ – 12x4 + 7x³ − 11x² + √5 with respect to a is

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Q: Find the first derivative of f(x) =x3/e3x

A: Given : fx = x3e3x

Q: k(x) = x In x %3D

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Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: Find the relative extremum of g(x) = x - 3x +1 by using first derivative test.

A: Let g(x)= x3-3x2+1 To find the relative extremum , here we use first derivative test In this method…

Q: Find the derivative of the function using implicit differentiation.  1.) x³-3x²y+2xy²=12 2.) x²-y²…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: Find the derivative of the function.

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Q: Find the derivative of f(x) = ln v4 – x2 %3D

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Q: Determine the second derivative of y = v5x² + 1 Determine the third derivative of y = (x² – 1) (2x3…

A: Second derivative of5x2+1 is  d2dx25x2+1

Q: Find the derivative of f(x) = e2" (3z² – 2)

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Q: Find the derivative of f(x)= 11x^2 at x=1

A: Given:    f(x) = 11 x2  at x = 1

Q: Find the derivative of f(x) = V3.x2 + 7x

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Q: Find the derivative of the function   f(x)=ln(x3(2x+1)/x^2−3)

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Q: 2) Find the derivative of the function f(x) = 3x² by definition

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Q: Using the đết of derivative, fin rivative of f(x) = x² + 2x + 2.

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Q: Find the derivative of f(x) = In2x 2 2z

A: We first use the addition property of logarithm.