Obtain the second derivative of the function f(x) = 6 In(8x) – 3z4 and state the value of this double derivative when æ = 0.5. Enter your answer, correct to three decimal places:|

Q: Find the 5th derivative of the function y=x2sin2x at x=0.

A:

Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

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

A: To evaluate s'(4)

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

A: Given:             f(x)=xex

Q: Find the derivative of function.

A: To find the derivative of the given function                                                y=log…

Q: How to solve for the derivative of Dy[tan(y)+1/tan(y)-1]? If it's 0, why?

A:

Q: Find the derivative of function.

A: The given function is f(x) = ln(xex+2).We have to find the derivative of this function with respect…

Q: 14. If x2 + y2 13, find at (2, 3). dx2 %3D

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: Find the first and second derivative by using implicit differentiation  xy+8y2=4

A:

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

A:

Q: What is the first derivative of s(x) = 4e.

A: Given function - s(x) = 4ex-3Differentiating on both sides with respect to x - ddxs(x) =…

Q: ; Compute the derivative of the function: f (x) = (+ Inx)² а.

A:

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

A: Given,           yx2+y2=x

Q: Find the derivative of f(x) = Inx + 1].

A: f(x) = ln [x2x2+1]f'(x) = ddx[ ln [x2x2+1] ]f'(x)= 1 x2x2+1 ddx[x2x2+1]

Q: Find the second derivative of function, and then find ƒ″ (1)  and ƒ″ (−3) .

A: Find first the derivative as shown below: f'x=ddx-5-x2        =125-x2ddx5-x2       =-125-x2-2x…

Q: Find the derivative of the function. y3 (4x* - 7x +7)* dy dx (Type an expression using x as the…

A: It is given that y=4x4-7x2+74.

Q: Find the derivative of the function. y= log sv7x +3 dy dx I3D

A:

Q: 12) Find the first derivative of f(x) = 3x %3D

A: Use rules of derivative

Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

A:

Q: compute the derivative. f (x) = ln(ex − 4x)

A: We can use chain rule ( Nested function form ) of differentiation to find the derivative. According…

Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

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: Find the derivative of the function.

A: Given that, f(x)=ln(x-1)   As we know, ddxln(x)=1x Chain Rule Of derivative, If…

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

A:

Q: Find the First Derivative of the Given Function: 2.) x=sec53t

A:

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: 3x g(x)=e* In(4x+1) (с)

A:

Q: Q:1 Find the second derivative of f(x) = 2x5 - 3VX7 at x = 1 rounded to five decimal places.

A: To find the second derivative of  f(x)=2x⁵-3x7/3 at x=1

Q: 1. Y= 3x -x- 2

A: Find your answer below

Q: Find the derivative of the function y = 2x − cosh √x

A: The given function is y=2x-cosh x. Obtain the derivative of y=2x-cosh x as follows.

Q: Find the 4th derivative of x^10 evaluated at x=0. What would be the 100th derivative of x^2000 be at…

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Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

A:

Q: Find the derivative of the function. f(x) = ln(x2 + 3)

A:

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

A:

Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

A:

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

A:

Q: Find the derivative of the function.

A: Given

Q: Find the derivative of y= log, (5x³)+log, (sin.x)

A:

Q: 1 erivative of x²+2

A:

Q: Find the nth order derivative of the function y=xlnx.

A:

Q: Find the nth derivative of the function y=xlnx at x=1.

A:

Q: Find the 3rd derivative of the function y=exx.

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: Obtain the derivative of the function y (ctg(5x))} y =- - sen? (5x) + 1

A:

Q: 9) Find the value of the derivative at the point x=2 if f (x) = xv2x – 7

A:

Q: Find the derivative of the function. h(x) = x² arctan(8x)

A:

Q: calculate the derivative with respect to x. 3y3 + x2 = 5

A:

Q: Find the 1st derivative of the function: y = 4(Vx + 1)5

A: Given that: y=4(x+1)5