Evaluate the second derivative of mq4.5.png os (bVx³) f(x) = a ln sin(cx2) if a = 21, b = 0.5, and c = 5 at x = 2 using CDA with Ax =0.01. Round off the final answer to five decimal places.

Q: Find the derivative of the following function with respect to x. /5x + 8 1 – 9 cos (4.x) - h (x) =…

A: The given function is:hx=5x+8 1-9cos4x3x2+10x4 This function can be written as: hx=5x+812…

Q: Show that the function f(t) = sin(e*) is of exponential order as t → +oo but that its derivative is…

A: To show that the given function ft=sinet2 is of exponential order.

Q: F(y) = In(1 – 5y² +y³)

A: Topic = Derivative

Q: 2. Calculate the derivative of the following. B. Y= tan(x+ 5r-2) C. y=- (E +24) :(2-)

A:

Q: Can you help me with this problem step by step?

A: Given equation is

Q: In the given question/s , find the derivative of the function.   y = ln (ln x)

A: We have the function y in terms of x  therefor we can  find the derivative of the the function y by…

Q: (c) Find the derivative of nh (cosu). Where n is 482

A:

Q: Find the derivative Of g(t)=ln(e^-t+2t)

A:

Q: Find the derivative of f(x) = In(e +4) 1 O 3e? e+4 3e3

A: We use the chain rule

Q: the implicit derivative of     sin(y) − xy^3 = e^(−3x^2)

A: Givensiny−xy3=e−3x2

Q: Evaluate the second derivative of e e22.1.png acos(b/x) f(x) = x2 if a = 123 and b = 0.5 at x = 6…

A:

Q: In (3x) Find the derivative of y with respect to x if y= sin (7 e') dt. dy dx

A: Given : A function is given as: y=∫0ln3xsin7etdt To find : The derivative of the function y.…

Q: Find the derivative of the function. y=e 8x-5 In (8x-5) dy

A:

Q: Q2/ Find the derivative of each of the following functions:- X 2. log₂ x y = X 1+ tan x 1. y=(sin…

A:

Q: Can you help me with this problem step by step?

A: To determine the derivative of given function.

Q: Q1: Find the derivative of the functions. 5- y = (csche)(1- In csche) 6- y = log3 (1 + 0 In 3) %3D

A: 5. y=cschθ1-ln cschθ6. y=log31+θ ln3

Q: Solve for the following implicit derivative: d²y si sen(y) = ycos(2x) dx?

A: We have to find the double derivative of the given function.

Q: Find the derivative of y with respect to the independent variable. x2 y =log 8 Sx+1 1 8x+1 O In8 x2…

A:

Q: S-2(x-1 - x²) dx 5.

A:

Q: Find the derivative of y with respect to the independent variable. x8)n 5) y =log 5 x-8

A: using the fact of logarithmic  logax=lnxln(a) find the derivative

Q: 3. Find the first derivative of k(x) if k(x) = e(4x – 3)

A:

Q: 3. Find the derivative of the following using logarithmic differentiation: 2x a. y = (2x – 1)(x + 1)…

A: To find the derivative by using logarithmic differentiation first take  the  logarithm on  both…

Q: Evaluate the derivative of e22.1.png acos(b/x) f(x) = x2 if a = 73 and b = 0.7 at x = 5 using FDA…

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Q: find the derivative of y with respect to the givenindependent variable. y = t log3 1(e(sin t)(ln…

A:

Q: Evaluate the derivative of the following function. ƒ1t2= ln 1sin-1 t22

A: Here given Function as ft=lnsin-1t2

Q: What is the first derivative of s(æ) = 4e"*.

A:

Q: What is the derivative of (9x² + 14)2 (20x2 +11a- 15)3 123 e y = with respect to x? Hint: Take the…

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Q: 4 f (x) = 3 (In (9x² + 7(log5(+Vx*

A:

Q: Find the derivative of the function. y= log , (3x2 - 2x) 5/2 O A. In 9(3x- 1) (3x2 - 2х) OB. 10(3x –…

A: We need to apply 1.chain rule 2.differentiation of logarithmic   we get option c as correct answer

Q: find the derivative of y with respect to the givenindependent variable.

A:

Q: 1. Find the anti-derivative of the following. e" (x + 1) dx x2

A: From the given information. Anti-derivative has to be calculated to the following expression.

Q: Find the derivative, dy/dx: y = log3 (2x +1) Oy =- (2z+1)3 In 3 Oy = (2r+1) In 3- Oy= log, e (2z+1)3…

A:

Q: Find the derivative of the following e^2x y = π / 2 y=5e^3x

A: Given function, y=e2x Using the chain rule of the derivative y'=dydududx Let 2x=u The derivative of…

Q: What is the derivative of y = log b( cos² (ax)) ? Note that a and b are real numbers.

A: we have to find derivative

Q: Calculate the derivative of the following function. y=6 log 3 (x - 9) d 6 log 3 (x - 9) =D dx

A: d/dx [ f(x) ] = 1/ f(x) * d/dx[f(x)]

Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: If f (x) = In (4a + 1), then its third derivative is f(3) (æ) = %3D

A: In this question, concept of derivative is applied. Derivative The derivative expresses the rate of…

Q: y = V5х+7

A:

Q: Find the derivative of the function. y = log 6 V3x+7 3. O A. In 6 3 In 6 O B. 3x +7 In 6 (3x + 7) 3…

A: Given, y = log63x + 7Applying the log rule; logab = lnblnay = ln3x + 7ln6Differentiating with…

Q: Evaluate the second derivative of e22.1.png ... acos(byx) f(x) x2 if a = 165 and b = 0.3 at x = 3…

A: Follow step 2nd and 3rd.

Q: Find the first derivative dy/dx of the following. Simplify. 1– x3 y = In 1+ x3

A: To Find the first derivative dydx of the function and simplify Given the function y = ln 1-x31+x3 y…

Q: Solve for the derivative of the following Exponential Differentiation. 1. y = 92x^2 + 3x +1 2. y =…

A:

Q: 4. D, (x-2)(2x +3) 5. D, (e")

A: We know that, Dx(ex) =ex Dx(xn) =nxn-1

Q: c) Find the derivative of nh (cosu). Where n is 482

A:

Q: Find the first derivative in the form of dy/dx  y= 2e^-2x + 2x^e^2

A:

Q: Can you help me with this problem step by step?

A: Consider the given function:

Q: Find the derivative with respect to x of h(x) = e2x²+6 In(x).

A:

Q: Find the derivative of the following: 8 f(x) = 3 (log5 ( – 2/x7 + x))* - e(v3³n²)

A:

Q: 7. Find the second derivative of the following function: y = e** +In(7e¯* + 5x³) – 5²× +-

A: