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

Q: Find the derivative of each function e 2x a. f(x) = 2x+1 b. f(x) = In Vx + 2x c. f(x)= x²e* – 6x

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

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Q: Find the second derivative of the function y=x(x² – 1)² A) None of the given choices B) 2x(5x2 - 6)…

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Q: Find the second derivative of the given function. y = 4x2 + 5Vx + e*

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

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Q: Find the derivative of f(x) = In(e +4) 1 O 3e? e+4 3e3

A: We use the chain rule

Q: xArctanx - Invx2 + 1 = y y = (e3x+4 +2)/(e2+3x +1)

A: To find the y'' of the given function , we use chain rule for differentiation.

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 second derivative of the following function: 3x Vx y = e** +In(7e¬x + 5x³) – 52x +

A: Given,

Q: Given y = (ax? + bx )e -bx where a and b are constants. Find derivative of y with respect to x. e-bx…

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Q: Find the second derivative of the function y=x(x² – 1) (А) 4x(5х2 - 3) в) 2x(5x2 - 6) (с) (2х -…

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Q: Find the derivative of the function

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Q: -e' 4. Y = e3x +e¬3X

A: Given: y=e3x-e-3xe3x+e-3x

Q: Q3\ Find the derivative of the following f(x) = %3D x-1

A: Derivative.

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

A: To find the derivative

Q: Find the derivative of the given function  e2xlog(3x+4)  (x>(-4/3)

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Q: e3x-e-3x Y = e 3x+e-3x 4. t2 y= 72-1 5. X = t-1

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Q: Find the derivative of f(x)=(x+4)e^(5x)

A: We have to find the derivative of f(x) ,where f(x) is given by

Q: Find the derivative of the function. h(x) = e2x2 - 7x + 3/x %D h'(x) = ||

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Q: Find the SECOND derivative of the given function. (b) g(x) = x+2

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Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOLUTION): e2x –…

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Q: 5 What is the derivative of5a2 + 10x + ? A None of the given choices B 10x + 10 + 3x2 10a4 + 10a³ –…

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Q: find the derivatives of the given function. g(x)= e2xln(x4)

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Q: 3x 4 e Find the derivative of the function y = - 5x +3

A: The given function is 4e3x5x+3 to find the derivative of the function of the form uv use the formula…

Q: 9. Find the derivative of y = xe3-x (A)e3-x? (B) 0 (C) e³-x*(1– 2x?) (D)–2xe³-x² (E) e3-x*(1+ 2x²)

A: Given : y = xe3-x2

Q: y = e(-x2+3x-4 )

A: Given: y=e-x2+3x-4

Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

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: e2x -e-2x e2x+e-2x

A: Solving the problem by finding the second derivative.

Q: Find the derivative of the given function a. y= (2x-3 / 5x+1)4 b. 6x2-11x-x3+6 / -4x2+x+x3+6

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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: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

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Q: Find the derivative of the function. e7x - e-7x y = 7x -7x + e

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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 first derivatives of y = x3 – x + 2 e*

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Q: Q2: Find the derivative of each of the following 1- f(x) = 2x5 + 2- y = (x – 3x²)(6 – x*)

A: In this question we have to find the derivation of the given function which we can easily find using…

Q: Find the derivative of the function. g(x) = e2a-5z+3 (6x? - 5) e2³–5x+3 O 23-5x+3 e622 -5 (2x - 5x…

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

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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: Find the first derivative of the following implicit function: X² + 3xy + y² = 4

A: Given : x2+3xy+y2=4 Lets take first derivative  Take derivative with respect to x. apply the power…

Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of…

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Q: Find the first derivative of the following implicit function. x² + 3xy + y² = 4

A: Given : x2+3xy+y2 = 4

Q: 4. k(x) = (4x³ – 7x² + 5)/4e*

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Q: Find the derivative of the following equations:  1: y=e2x^2 - x +2x -3x 2: y= ln(x3 / 2x2+3)

A: To differentiate the given functions, by using basic rules of differentating standard functions…

Q: Find the derivative of the exponential function f ( x ) = 5x 2 e 7x

A: Given function: f(x)=5 x2 e7x     Calculate the derivative of f(x): f(x)=5 x2 e7x   Take the…

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

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Q: 2. f(x) = 2x – 5x%

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Q: Find the derivatives of following functions e2x f(x) 1- ex

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 7. Find the second derivative of the following function: y = e** +In(7e¯* + 5x³) – 5²× +-

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