Consider the following g(x) = 8e5.5x, h(x) = 8(6.5*) Find the derivative for f(x) g(x) h(x) f'(x) = Consider the following. g(x) 6exIn x; h(x) = 3x2.7 Find the derivative for f(x) g(x) h(x) f'(x) =

Q: y = In (x* + 5)³

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Q: Determine the first derivative of the ff. function y = tan(ln(cot(x² + 3 ln 3x)))

A: Chain rule of differentiation: f(g(x))'=f'(g(x))g'(x) Formulae used: ddxtanx=sec2xddxlnx =1xddxcot…

Q: Find the second derivative for the functions defined as follows g(x) = 4x(ln x)

A: We have to find second derivative of the function: gx=4x lnx Since two function are in product so we…

Q: Find a function with derivative equal to g(x) = cos(x)e³sin(x)

A: To find a function with derivative equal to gx=cosx e5 sinx

Q: Find the first derivative of the following functions Y = x5 e-3 ln x and Y = ln √ [ (x – 1 ) / ( x…

A: Solution is given below:

Q: Find the derivative of function. y = ln(2 - 5x)

A: we have to find the derivative of y = ln(2 - 5x)

Q: Find the derivative.

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Q: 1. Find the first derivative by using the definition for f(x) = 3x² – 2x – 5, hence - find f'(-2)

A: Derivative of a function is ratio of difference in output and difference in input.

Q: Find the derivative of the function. y = In(x8)

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Q: What is the derivative of 2(x)ln(x)+x

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Q: find the derivative of the function  y'=ln(squared root of x^2-4) and  y=ln IsinxI

A: The given function is y=lnx2-4. Obtain the derivative as follows.…

Q: Determine the derivative of f(x)=ln(x√x^2+1).

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Q: f (x) = ln(x · 5*)

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Q: Find the second derivative and the points of inflection using the second derivative f(x) = ln(x) /…

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Q: derivative of y = arctan(x2+ 3)

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Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

Q: 11 In(x)sin (x²). Find the first derivative of g(x) (x),6

A: As we know that: The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x The Power law:…

Q: 8. Find the derivative of the function. y= In(1+x)

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Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: derivative of f(x)= 3sin2x

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Q: 1 Find the function whose derivative is (x+1)-

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Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

Q: Find the derivative of the function. f(x) = x6 ln(x)

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Q: Find the derivative of f (x) = -4 tan (x).

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Q: Find the derivative of y = arctan² (x³)

A: This is a problem of differentiation of the function. Based on general formula we will solve this…

Q: Find the derivative at the point (0,.5) x2+y2=(2x2+2y2-x

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Q: What is the value of the second derivative y" at the point (4,3)

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Q: Find the derivative of the function h(x) = x2 arctan5x

A: The given function is h(x) = x2 arctan5x

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: What is the second derivative of f(x)=−x4? at the point x=−3 Do not include "f′′(x)=" in your…

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Q: Find the function ƒ(x) whose derivative is sin x and whose graph passes through the point (0, 2).

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Q: Find the derivative 4 y = In x +

A: It is given that- y=lnx+4x To find the derivative of y, use the addition rule, i.e.,…

Q: Find derivative of: h(x) = ln(2sec(x))

A: topic - derivative of a function  derivative of: h(x) = ln(2sec(x)) is tan x

Q: 4) Find the derivative of y = arctan(x² + 3)

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Q: Find the derivative of the function. g(x) = 2(3- Ex)

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Q: Find the derivztive of the function

A: Topic :- derivative

Q: 32. Using one-sided derivatives, show that the function f(4) = { 3x, x>1 does not have a derivative…

A: Given: fx=x3,   x≤13x,   x>1 To Find: To show that the given function does not have a derivative…

Q: Find the derivative of the function 3- y = e- sin 3x 4- y csc- (x2 + 1)

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Q: is the derivative of In

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Q: x² q(x) =- sin(x)

A:

Q: What is the derivative of the function  x^8(ln(x))?

A: To find the derivative of the function x8(ln(x)) as follows.Redefine the function as follows.

Q: Find the derivative of the function h(x)= ln(5x+1/7x-2)

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Q: function

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Q: 8) Find the first derivative of f (x) = sin 2 (x3).

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Q: Find the second derivative of g(x) = secx.

A: Given : gx = sec2x

Q: flx)= -e, 1-x2 1-e

A: To find The derivative of f(x).

Q: how do i find the derivative of this but not simplified  y= (x^2+x+6)(x^1/3-2x^1/2+1)

A: To determine the derivative of the function.

Q: 1. 1. f(x) = 4x³ · cos x

A: Given: fx=4x3.cosx