Simplify and find for each of the following functions without using product rule and dy dx DENT quotient rule. (a) MIMATION JJS

Q: Use the product rule to help you find dy/dx for each of the following functions: 13. y = (x²)(2x -…

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Q: 1. (2x + 1)(x - 5) dx

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Q: Differentiate. d/ 4 – xex dx x + ex - [

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Q: .x = t² – 2t – 11 and y = t(t – 4)³ – 3t²(t – 4)² + 7

A: Given:- x = t² - 2t - 11 and y=t(t-4)³ - 3t²(t-4)² +7 To find:- y'

Q: X 2 Find x² +1 -dx

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Q: 2 2 V1-x 1-х

A: ∫un du = un+1n+1+C ∫cos(au) du =1asin(au)+C

Q: Evaluate: √ye dx By using Gamma function. is

A: I have given the answer in the next step. Hope you understand that

Q: Evaluate d/dx { In√(x+1)}

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Q: by using beta function Vxe-x dx

A: We have to evaluate integral value by using beta function.  I have explained in details please check…

Q: 1. x = 4t3 – t2 +7t and y = t – 6

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Q: Find the derivative. 5х + 1 In 5x - 1 dx 5x +1 %3D dx 5x -1)

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Q: dx X1メエ16 12

A: Given integral, ∫12x2 x2+16 dx

Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: cos(3x)dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: (b) Use FTC to evaluate (x-x X-

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Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: Evaluate 2 Cot 2 / dx ct x 3 k 742

A: The given integral

Q: Evaluate. (a) ∫x(x+ 1)^2 dx. (b)∫(upper) π/4 (lower) 0 (1 + 2 secθtanθ)dθ

A: Part a,Given,            ∫xx+12dx