d Use the table below to find [1.3g(x) dx x= 1 1 3 4 5 f'(x) g'(x) 1 3 2 4 3 2 5 1 4 d [1.3g(x)] dx | (Type an integer or a decimal.) %D x = 1

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A:

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A: Given:     y = cosh ( ln ex^3 )

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A: It is given that:…

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Q: x*+e*)dx -In

A: Given: I=∫x-1+exex-ln1xdx So, simply we can write as; I=∫x-1+exex-ln1xdx=∫x-1+exex-ln1-lnxdx…

Q: 10) y = e³ In x A) dy In x 3x3 In x dx dy - 4x² , dy D) dx 3x3 x³ dx +1

A:

Q: -4 –x² x e?y dy dx= 4-у O 1 (e12 – 1) O 1 금(62-1) 2 O 1 8–1) O 1 (e8-1) 4 (e 12-1) (e?-1)

A:

Q: dy 1. Find dx for the following functions: 45) y=x' log,(3– 2x ) 2x' (ans.:3x² log ,( 3…

A: Given function is y = x^3 log_2(3-2x)

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Q: 7)S ) dx 8)S; dx 1+3e* 9) S 3x3. e-2x* dx

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Q: Compare dy and ^y for y =-4x2-3 at x=-1 and dx=^x=-0.06. Give answers to four decimal places.…

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Q: Find dy/dx of the given function. y = e 2x In x

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Q: dy Q1) Find dx for : 1) y = log3(3x3 + x2)2 x In(sec- x)

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Q: 1/e -1/2 S 10x*-2(1-x²). exact value of dx 1/2

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Q: find dy/dx for the given value of x.

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A: iii.a. Quotient rule of differentiation states that ddxfg=f'g-g'fg2 Chain rule of differentiation…

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Q: > [2] S 1+e* dx 1-ex

A: The solution is given in the next step.

Q: dx 3. S ex+ e-*

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Q: In e ex 2. dx e2x + 1 In 1

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Q: 2 TC dx = X dx exactly. 5x 7. If find e+1 +1 12

A: Given,

Q: find dy/dx x(х+1)(х- 2) (х*+1)(2х+3) 25) у%3 43) у%3D 1+(lin x)? 1+(ln x)?

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Q: 3.) dx + e dy = 0

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A: Given:the equation of y is y=-4x2-3 at x=-1  and dx=△x=-0.06To find:Find the value of dy…

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A: Use separation of variables to integrate.Given:

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Q: d/dx(F(x^3))=d/dx(∫17 to x^3 e^−t2 dt)=

A:

Q: e2x dx= 1+ex A ex – In(1+ e*) + C B e2x + In(1 + e*) + C © 2e2x – In(1+ e*) +C D e2х- in(1 + e*) + с

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Q: Find dy/dx for y = (ln x) 3

A: We have to find dy/dx of  y = (lnx)3

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Q: Calculate the exact value of the intergral ∫ln(x)dx where b = 3 and a = 1

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Q: e2x dx= 1+e* xp- e2x – In(1 + e*) + C e2x + -In(1+e*) + C B (C) ex – In(1+ e*) + C D 2e2x – In(1+…

A: The given integral ∫e2x1+exdx