Given that f(x) = (3xª + 4)³/2, find f'(x) as a function of æ. f'(x) =

Q: 9)/6)= (2x+1)*

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: Find the derivative of the function f(x) = 24x arccos(4x) – 6/1 – 16x? f'(x) =

A: To find the derivative of the function

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A:

Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx =…

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

A: Given:             f(x)=xex

Q: Solve for the 4th derivative of function K K= x3Cos√x

A:

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: 2 -

A: Chain Rule : (fg(x))' = f'(g(x)).g'(x). d(ax+b)ndx = n.a(ax+b)n-1 dtanxdx = sec2(x)

Q: Compute the indicated derivative. d + 7x)(x2. dx x = 2

A:

Q: Find the derivative of: 9e 7sin ( 3x*) Use e^x for e". -

A: We use chain rule to find the derivative.

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: y = ln 1-x² 1+x²

A:

Q: Find the first order derivative with respect to y of the function u = log(x + x² – y2)

A: Using derivatives.

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: 2x+4 f(x) = (3x + 7) e.

A: Given query is to find the derivative of f(x).

Q: Find the requested higher-order derivative for the given function. d3y of y = x" - sec(x) dx3

A: Given that y=x11-secx and we have to find third order derivative of y with respect to 'x' that is…

Q: Find the derivative

A: The first derivative of f(x) is represented byf'(x) and the second derivative is represented by…

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

A:

Q: Find the derivative of f(x)=x^2 e^2.5x

A: Given problem:- Find the derivative of f(x)=x2 e2.5x

Q: 1 y = V2x+5 /2х+5

A: By see this solution

Q: Can you help me step by step?

A: Differentiate with respect to x,

Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: Find the derivative with respect to x of 1 f(x) V3x + 9

A:

Q: Consider the derivative function h (x) = 5x³ + 3x² – 4x + 4. What is the general antiderivative of…

A:

Q: Find the derivative of the function. s(e) = VE-5E f '(x) =

A: The given function is: fx=x-5x3 The objective is to find the derivative of the function i.e., f'x.

Q: find the most general anti derivative  f(x) = e^2

A: A function F(x) is called an antiderivative of f(x) if F’(x) = f(x).   The function f(x) is the…

Q: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

A:

Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

A:

Q: Find the first derivative of with respect to x using the increment method y=3x^2-7x+12

A:

Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: To find the third derivative of  y=(4x+3)34⇒y=(4x+3)34 The general rule of differentiation is…

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. In x 20) у 3

A: Given

Q: 2. If f (x) = xV x + 3, find the derivative of this function and the slope of the tangent line at…

A: Product rule of differentiation: (fg)'=fg'+gf' The slope of a tangent line at (a,b) is given by:…

Q: Find the function with the derivative f'(x) 3x = e whose graph passes through the point P| 0,

A:

Q: The 60th derivative of x with respect to y of y = x^60 is 60!x

A:

Q: y = V5х+7

A:

Q: Find the derivative of the following function with respect to x. V5x + 8 V1– 9 cos (4x) - h (x) =…

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: find the derivative dy/dx of the functions xlny+ylnx=1

A:

Q: Find the derivative of the function. f(x) = 2 tan (e11x) f'(x)=D

A: We have to use Chain rule of differentiation.

Q: 8x+9 In(, x3 dx

A: Here we will sove derivative of given function,

Q: 1 Find the derivative of the function : ƒ(x ) = V |2x + 3

A: The given function is: f(x)=12x+3 Let, u=2x+3. So, f(u)=1u=u-12 and u=2x+3

Q: find the derivative of f(x)=(x^4+3x^2+8)cos

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³-5x)* 1. у3D ; d'y/dx³

A:

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also…

Q: Obtain the derivative of the function f(x) = 6cos(2x) TC and find the value of this derivative when…

A:

Q: Find the derivative of f(x)=

A: We use the quotient rule of logarithm to simplify the expression

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A:

Q: Find the derivative of the function: f(x) = Vx + Vx + 1 1 +

A:

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A: