Find the derivative. y= e at O 4(1/4)x -4(5/4)x In 4 4(3/4)x In 4 4(5/4)x 25 n4 16

Q: In the given question/s , find the derivative of the function.   f (x) = ln(x -1)

A: To find the derivative of function f(x)=lnx-1 differentiate both sides of the function with respect…

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: 1. Find the derivative of the following e)y ln x - x ln y = c

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Q: Find the derivative of the function. 3x 9(x) = e+5.

A:

Q: 4. Find the second derivative for the following functions : a) y=(x+!)' (ans.:6x +6+ 12) x' b)…

A: (a)

Q: Find derivatives of the following functions: y= (4x + 3)/In[2x* +3x -s] y= 3(e" +e*Xx² - 4)

A: ANSWER :

Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

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Q: _y = In(e6x) бх

A: We have to find out the first derivation of given function

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: Find the third derivative of the given function g(t) = Square Root of 5t+3

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Q: 1. Find the first derivative of y with respect to x (y') of the given function 1. x'y-xy? +x? +y? =…

A: As per guidelines we have to solve one question

Q: 1. Find the derivative of the following functions at an arbitrary point x: 8 a. f(x) = x3/2 b. f(x)…

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Q: In the given question/s , find the derivative of the function.   f (x) = ln 2x /x + 3

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Q: find the derivative of the functions : g'(x)=4(3-8x)^3 g'(s)=5/(s^3-6)^3 y'=1/squared root of…

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Q: B) Find the derivatives of the following functions: (for only 6) 5) y- In ( sin' 0) 6) y = log:() 7)…

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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: Evaluate the derivative of the following function at x=0: f (x) = (e³* + x)+ 4. O 16

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Q: Give the derivative formula for the function. j(x) = 4 In x – e67 j'(x)=

A: To give the formula of the given function.

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: Find the derivative of the following function with respect to x. h (x) =√(5x + 8) 3√(1-9COS(4X))/…

A: hx=5x+81-9cos4x3x2+10x4

Q: Find the indicated derivative for the function. h"(x) for h(x) = 2x "5 – 6x -8 h"(x) =

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Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: Find the derivative of the function.s(x) = e3x − 1/x3 − 1

A: The given function is

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: What is the Derivative of the following function; y = e-xsinh x

A: Our Aim is to find the derivative of y=e-x sinh(x)-(i)

Q: Find the indicated derivatives for #'s 1-6: 1. y'for y = 4In x 2. f'(x)for f(x) = In x³. 3. a. f'(x)…

A: As per guideline we have to solve three question

Q: 3. Find the derivative of the given exponential function w e2t (2 cost + sin t)

A:

Q: 4. Find the second derivative for the following function a) )* 22 y3(x+ (an b) f(x)=/2x + at x= 2 c)…

A: See the attachment

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

A:

Q: 2. Find the derivative of each function. # 45 : y = In(1+e2") b. # 47: y = a. et +e-a

A: Chain rule: If F(x) is a composite function f(g(x)) and if F(x) is differentiable, then the…

Q: Find the derivative with respect to x of each of the following: 5. f(x) = (2x + 1)e-*-1 xe" +2y²ln x…

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Q: 1. Find the first derivative of the following functions: y = f(x) = -(2x + x³)-2 + 4x (2x+4)² (a)…

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Q: Suppose h (x) =() . What is the correct result of the derivative of h with respect to x? ". In (5) A…

A: Derivative using chain rule of differentiation.

Q: 1. Determine the third derivative of the following. A. f(x) = x³ – 4x² + 5x + 3 B. f(x) = Inx [ K:…

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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: Q3: find the derivative of In(x4+3x-1) a) f(x) = %3D x²+1 b) f(x) = 4x³ . log(x² + 2x) %3D c) f(x) =…

A: Use product rule of differentiation.

Q: Find the derivative of the following: 1. D, (x³) 2. D, (5x2) 3. D, (x – 2x*) 4. D, (x-2)(2x +3) 5.…

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: The derivative of the function y = In (* + 1) (* - 1) is O y = O y = :- - 1 e+1 + -2 +1 ||

A: Question is solved.

Q: Find the derivative of y. x2 =log6 x+1 O A) Sx+1 x2 O B) ) In 6 x2 2x+1 1 Sx+1 In 6 x2 D) None of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose h(x) =log,(3x+1). What is the correct result Зх + %3D of the derivative of h with respect to…

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Q: 6. v(y) = In (y² – 8y – 1)

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Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural…

A: 9. y =cosx nth derivative and n is divisble by 4  it means n is even number 4,8,12...ny so lets…

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

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

Q: 25. Find the derivative of the function. y = (1+ 3x)e - 3x O A. - 9e - 3x 3x В. - 3(1 + 3х)е - 3x -…

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Q: Find the derivative of the given function e5x (2x+1)5 b. f(x) = In Vx²+1 f(x) = (x In x – x)

A: Given that: b. f(x)=lne5x(2x+1)5x2+1c. f(x)=(xlnx-x)

Q: 2. Find the derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

Q: Find the second derivative of each of the following functions. s=1/2t-1 y=x2tan2(3x

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Q: Find the derivative of the given function. e5x (2x+1)5 f(x) = In Vx2+1

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Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

A: