- 1) = 3 If h(x) = xf(x)g(x) and f(- 1) = 2, f'(- 1) = - 3, then determine the value of h'(- 1).

Q: y = In (x* + 5)³

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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: i. y= ) In (x+3

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Q: 5. Find the derivative of: a. f(x) = cos(e³x-4)

A:

Q: 4. Calculate the derivative of the given function directly from the definition of derivative y = v2x…

A: Given function is  y=√(2x+1)

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 derivative of the function. 1 - e3x = cos y = cos 1 + e3x y' =

A: Differentiate

Q: 5. Find the third derivative of the function : 3 (ans. : - 8y y=Vx

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: What is the first derivative of f(x) = ln 3z²+7z ?

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Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

A:

Q: 18) Find the first derivative of y = 1 -sin² x - 4

A: The given function is: y=14sin2x

Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

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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: 4. Find an equation of the tangent line to the graph of f(x) = ln(x ^2 + 4) at the point (2, ln(8))

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Q: find the derivative for  h(x) = 3e ^ -x * ln(2x+1)

A: Using product rule of derivative In order to solve the given problem.

Q: Find the derivative of the function. 1- e3x 1 + e3x y = cos y' =

A: Given that: y = cos1-e3x1+e3x To find: We have to find the derivative of the given function.

Q: 1 14) Use the definition of derivative to find dx 3- х.

A:

Q: 6. Find the first order derivative with respect to z of the function u = In/x2 + y2 +z²

A:

Q: 3. Find the derivative of y = csc" (sec x), 0<x< 2n.

A: Given ddx(arccsc(sec(x))Let sec(x)=uWe know that ddx(cosec-1…

Q: Determine the derivative of g ( x ) = 3 e-4 x*sin(7 x) with respect to x. = (x), 6

A: As per the guidelines, we need to author the 1st question.  We know that product rule is given by…

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: 3x y = .3 х +3x

A:

Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Let y = x(ln x)² – 2x In x. Find the value of X for which the second derivative, y" (x), equals…

A: Solve the following

Q: Find the derivative: 1+ e2x = cos 1 - e6x f(x) f'(x) =

A:

Q: 2. What is the equation of the tangent line to the curve y = x? - 2x +1 at point (3,4)? а. у3 2x — 2…

A: The equation of line is y-y1=mx-x1, where m is the slope of the curve.

Q: Find the derivative of the function. f(x) = ln(x2 + 1)2

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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: 3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

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Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

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Q: 3. Find the derivative of h()= 5²°-2z-1 %3D

A: We have to find derivative

Q: 4 sin x-3 2. Find the first derivative of y =150xcos (10x)+ 9 In(J16-x)

A: use derivative of y

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

A:

Q: Find the derivative of f(x) = 4e 3x + e -x^2 f(x)= ?

A:

Q: x3+6x-2 dx x4+6x2

A:

Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

A:

Q: Find the derivative of both a and b a. x csc-1(1/x) b.(esin2x)/[In(cos2x)]2

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Q: Solve for the derivative of the Inverse Hyperbolic Differentiation. 1. y = sin h-1 (2x2 - 1) 2. y…

A:

Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

Q: Find the fourth derivative of the given: (Show complete solution from first to  fourth derivative)…

A: The function is given by y = (2x+1)25

Q: 10. Solve for the derivative of y IMPLICITLY 22 + vx³ + 2y= y²

A: Topic =Derivative

Q: c. Find the derivative of y =+- et x3 cOS X 2

A:

Q: 1. Find the second derivative of y = sec-'x+ csc-!x. a. 0 b. C. +x+ d. -1 2. е.

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Q: 2) Use the Chain Rule to express the second derivative of ƒog in terms of the first and second…

A:

Q: 5. Find derivative of the following composite function using the Chain Rule: f(x) = 3x2 + 8x, x(t) =…

A:

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

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Q: 2. Determine the 8th derivative of y with respect to x of the function f(x) = 1 + x2 and find the…

A: fx=11+x2 Differentiate the above function with respect to x. f'x=ddx11+x2=2x1+x22 Again,…

Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

A: Since you have asked multiple question, we will solve the first question for you. If you want any…