Consider the following functions (on the given interval, if specified). Find the derivative of the inverse function. ƒ1x2= log1012x + 62

Q: Solve for the derivative of the following composite functions. f(g(x)) = (x + 4)5 1.

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Q: For each of the below functions, compute the derivative f(x) = cubed root of x + 3/x5

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Q: Find the derivative of each function of s = 3t

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Q: Find the derivative of the function h(t) = log5(4 − t)2

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Q: y = V7x – 8

A: Given: y=7x-8 To find:  dy/dx=??

Q: Find the derivative of the following function. ​[ln(x^8)]3

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Q: Use logarithmic differentiation to find the derivative of the following function: y = (x - 1 / x4 +…

A: Apply ln on both sides and simplify using properties of logarithm.

Q: Find the derivative of the following functions.

A: Derivative of a function represents rate of change of that function.

Q: Find the derivative of the inverse function s(x) if f(x) = -x+ 1 1 r + 1

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Q: Find the derivative of the function. f(x) = e* logg(]x|)

A: Using Derivative rule of product of two functions.

Q: find the derivative of the following functions

A: Given: hx=x-1x3+x2+x+1 To Find: To find the derivative of the given function

Q: Find the derivative of the following functions.

A: The given function is fx=xe-x

Q: compute the derivative. f '(x), f (x) = log2 x

A: Given the function f (x) = log2 x

Q: Find the derivative for the following function. f(x) = 7V

A: We need to evaluate the derivative of the following function fx = 7x4 Formula Used : ddxxn = nxn-1

Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: We have to find the derivative of inverse function of fx=1012x-6

Q: Find the derivative of the following function. gt) = 18 gʻt) =|

A: to find the derivative

Q: For each of the below functions, compute the derivative x2+3x-1 / tan(x)

A: We have  fx=x2+3x−1tanx Now Differentiate w.r.t "x"  Using Quotient Rule

Q: Solve for the derivative of the following function: v=1/t^3

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Q: Find the derivative of the function. 11 m n'

A: To find the derivative of the given function here we can apply the division rule of differentiation.…

Q: Q1/ find the derivative of the following function 5x + 2x+3 f(x) =

A: d(u/v) = (v du - v du) / v²

Q: Use logarithmic differentiation to find the derivative of the following: 1) f(x)=xex 2)…

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Q: find the derivative of the following functions

A: Derivative of xn is nxn-1 for n≠0. Derivative of a constant is equal to 0. One property of…

Q: h(x) = e= a + 4 – x2

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Q: Compute the derivative. f'(x), f(x) = log2 x

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Q: Choose the correct graph of the function (in blue) and its derivative (in red) below. O B. c.

A: We will use the fact that where the function has maxima and minima derivative graph will show value…

Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: Given information: f1x=x+2

Q: Consider the following function (on the given interval, if specified). Find the derivative of the…

A: fx=xx+5 We need to find the derivative of the inverse function

Q: Calculate the following derivative if f(x) = e3x and g(x) = x + x=2. (f o g)' =

A: Given fx=e3xgx=x+x-2

Q: Pind The second derivative of the following function F(X)=e

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Q: Find the derivative of each of the following functions:-- log₂ x 2. y= X

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Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: The given function is fx=3x-4. Its corresponding inverse function is f-1x=4+x3.

Q: Find the derivatives of the following function log(cot(1-x2))

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Q: Find the derivative for each function: h(x) = e ^ ( - x^2 / 2 )

A: h(x)=e-x22Differentiate both sides with respect to xh'(x)=ddxe-x22h'(x)=e-x22ddx-x22 [chain…

Q: Compute the derivative of the following function: f(x) = –6e3x +3

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Q: Find the derivative of the following function. f(x) = 4x -34x+ e 4 %3D

A: We will use some set of formulas of differentiation : ddxxn = n xn-1ddx constant = 0

Q: +1. y=+ 5х-2 y=(2x² – 3)(x+5)

A: The equation for derivative are, y=x3+15x-24 y=2x2-3x+5

Q: Find the derivative of each of the following functions. (a) f(x)= (a² – Va) - e

A: Given: fx=x2-xex

Q: FIND THE DERIVATIVE OF THE FOLLOWING FUNCTIONS. g(x)=xnx

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Q: Find the third derivative of the given function. 8 f(x)

A: This question can be solved using the concept of third order derivatives.

Q: find the following derivative: g(x) = e^3x / 2-x^3

A: find the following derivative: g(x) = e^3x / 2-x^3

Q: Find the derivative of the following function f(x)=10x^4-32x+e^2

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Q: Find the derivatives of the following functions. x.log x. log (log x)

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Q: g(x) = x3 + 8x + 4 1 h(x) = 5 + x2 f(x) = (x³ + 8x

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Q: Find the derivative of the following function. 8x +1 h(x) = X +7

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Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: Given function is y≡fx=e3x+1

Q: Calculate the derivative of the following functions

A: we have to find the derivative of the following function   g(x)=xe3x=xe-3x derivative of…

Q: Find and simplify the derivative of the following function. h(x) = (7x° + 7x) (4x' +2x+2) 3 11

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Q: Find

A: We will find the derivative of the above function using logarithmic differentiation.

Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: Given:fx=x3+3Formula:ddxxn=n.xn-1

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: