If  F(x) = f(3f(7f(x))),  where  f(0) = 0 and f '(0) = 2,  find  F '(0).

Q: i. y= ) In (x+3

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Q: What is the first derivative of s(x)=(7x)3x at x=4?

A: To evaluate s'(4)

Q: How to find the derivative of d/dx [(x^2-6)(2x^2+5x)]

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Q: 3x-4 1. y = Arctan

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Q: Find the first derivative of y = e3x. 3e3x

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Q: calculate the derivative with respect to x. ln(x2 + y2) = x + 4

A: Given function lnx2+y2=x+4 Differentiate the above function w.r.t 'x' ddxlnx2+y2=ddxx+4…

Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORN 3x-4 1. y = Arctan 2. y = 2 Arccos (1…

A: y=Arctan3x-44

Q: The derivative of f(x) = 5x – Vx + (sin)x – e² -

A: Given; f(x)=5x4-x1/3+[sin(π/2)]x-e2

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

A: Answer

Q: x + x dx x2

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Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: 1 Find the first derivative given that f(x) = xdx +

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Q: 10. f(x) = cos (2x)e*²-1

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Q: 10. S(2x – 3) dx e 2x2 - ебх

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Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

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Q: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

Q: Calculate the 4th derivative of the function y=x2/x−1 at x=2.

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Q: Find the derivative. [미 In dx x +3 x-3

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Q: Find the derivative of the function f(x) = 5ª+x² + log3 (In x). %3D

A: To find the derivative of the given function.

Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

A:

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: find the derivative of ln(3x^2+e^x)

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Q: Compute the derivative of the fo f(x)= 2x+3x ex

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Q: Find the first derivative of y = 1 using the Chain Rule. (1– x4)6

A: These questions are related to differentiation, We will solve them using given information.

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

A: we need to find the first derivative of

Q: Use three-point midpoint formula to evaluate the first derivative of y=x2+5x−1y=x2+5x−1 at x=0x=0…

A: Given function is y=x2+5x−1. We have to evaluate the first derivative of y=x2+5x−1 at x=0 using a…

Q: What is the value of the first order derivative of the closed function given as…

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Q: 3x y = .3 х +3x

A:

Q: dx V9-x2

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find the derivatives of: d/dx (ex-e-x/ex-e-x) And the derivatives of: f(x)=ln((2x+1)3/(3x-1)4)

A: the given expressions is: dex-e-xex-e-xdx the given function is: f(x)=ln2x+133x-14

Q: Find the derivative of the function. f(x) = ln 2x/(x + 3)

A:

Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: (b) Use implicit differentiation by partial derivative to solve for dx of the function 5x + xy 4y.

A:

Q: Find the partial derivative. 4 = (x² + 6x – 3y)* - dz

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Q: Find the derivative of the function y, below. 9x(ln x + In 2) – 8x + v2 %3D

A: first, simplify the function  y=9xlnx+ln2-8x+2 y=9xlnx·2-8x+2 y=9xln2x-8x+2

Q: 1. Solve the first derivative of f(x) = e-2x In x at x = 0.5 using forward finite-divided difference…

A: To find the first derivative of the function f(x) = e-2xlnx at x = 0.5 using forward finite-divided…

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

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

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

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Q: If f(x,y) is a real valued function of two variables then what is the second derivative of f?

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Q: find the first derivative in the form of dy/dx y=(3x-ln(x))^5

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Q: Find the first derivative of:   f(x) = ln [(5x+2)1/2 / csc(x)]

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Q: Find the first derivative of h(x) if h(x) = cos (x – 2x) -

A: h(x) = cos2(x3-2x)

Q: Find the first derivative of x² + 3xy + y3 = 10 implicitly.

A: The given function x2+3xy+y3=10

Q: What is the derivative of y = (2x)" O (2x)^(x) (1-In2x) (2x)^(x) (1+2 In2x) (2x)^(x) (1+In2x) O…

A: