12) Find the first derivative of f(x) = 3x %3D

Q: y = In (x* + 5)³

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A: Second order derivative.

Q: How to find the derivative of d/dx [(x^2-6)(2x^2+5x)]

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Q: Find the first derivative of y = e3x. 3e3x

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Q: 1) Find the derivative of y =-+x-1 %3D

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Q: 5. Find the first derivative of y = (2x³ – 1)5Vx² – 1 %3D

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Q: Find the first derivative of y = (ln x)4

A: Given the  y = ( ln x)^4 We need to find the first derivative . Therefore differentiate to given…

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: Find the derivative of y=ln[x^3(x^2-5)^3/4]

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Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

Q: 4. Find the 2nd derivative of f(x)=14-x (x)%3D

A: The give function is fx=4-x

Q: 14) Find the first derivative of f(x)= 2*2*

A: The derivative of ax is axlna. The derivative of xn is nxn-1, where n is any integer. The chain rule…

Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

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Q: Find the second derivative of the function. 3root(x) + e^(6x)ln(x)

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Q: 5) Find the second derivative of f (x) = %3D ex plify your answer as much as possible

A: fx=1-2xexTo find the second derivative

Q: S(x)= Jx-5

A: given that f(x)=1x-5 find the derivative from first principle f'x=limh→0 fx+h-fxh

Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: Calculate the 4th derivative of the function y=x2/x−1 at x=2.

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Q: 3. Find the second derivative of y= xlnx

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Q: Find the derivative of the function f(x) = 5ª+x² + log3 (In x). %3D

A: To find the derivative of the given function.

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: find the derivative for  h(x) = 3e ^ -x * ln(2x+1)

A: Using product rule of derivative In order to solve the given problem.

Q: 11) Find the first derivative of y = (lnx) 4

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Q: Find the first derivative of = (ln x)* 4 y

A: From the given function; y=lnx4 We know that; The Power law: ddxxn=nxn-1 The chain rule:…

Q: 3// By using logarithmic differentiation and with respect to independent variable x, find the…

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Q: 3x y = .3 х +3x

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Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

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Q: 5. y=x3 Find derivative ldv 4.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Determine the first derivative of the ff. function y = 400(2)*+3 sin 3x

A: Given: y=4002x+3 sin 3x To Find: First derivative of the given function

Q: 22 Find the 43rd derivative of (1 + x²)“ at x = 0. 0.

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Q: Find the derivative of the function  f(x)= e^-3x ln x

A: Given function is

Q: Find the derivative of y = log2 4x Ox/In4 O 1/xln4 O4/1n4 @ 4/xin4

A: To solve the following problem

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

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Q: F(x) = "(5t - 1) dt %3D

A: We need to find the first derivative of F(x)=∫x2x(5t-1)dt. By Leibniz's integral rule,…

Q: 4 Find the first derivative of y = In X +

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Q: 4. F(x) = (1-t) dt

A: To find the first derivative

Q: 5. Find the first derivative of y = (2x³ – 1)5 Vx² – 1

A: Given: y = (2x3 – 1)5√(x2 – 1)

Q: solve the first and second derivative of Y= (1+lnx)  /  x

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: k(x) = x In x %3D

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Q: x3+6x-2 dx x4+6x2

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Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

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Q: 3 +Ve³ .2 3x e: f(x) =

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Q: Find the derivative of the function. 9 y =- Vx + 1

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Q: Find the first derivative of:   f(x) = ln [(5x+2)1/2 / csc(x)]

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

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Q: 4. Find the 2nd derivative of f (x) = 4-x x)%3)

A: To determine the second derivative of the function given by; f(x)=4-x Differentiate the function…