1. Differentiate the following functions: a. y = In(sinx) b. y = evx Vx2 – 1 coshV(x2 + 1) (10pts) (15pts) c. y = cosh (x2 + 1) (10pts)

Q: B- Find dy / dx for the following functions: (3 mark) * 1- Y= sin( coshx log, 2 )

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Q: Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. du 1 +=…

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Q: Differentiate the following functions: 6. y = csc-(2sinx)

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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: Compute: 1+2 dx

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Q: Integrate the following functions [(-2x² – 9x – 7)dx [(4x° – 9)* (20x“ )dx. i. ii. ji.

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Q: Consider the following function: Step 1 of 4: Determine ƒ'(x) and ƒ"(x). f(x) = (x − 1)(x+8)² Answer…

A: Step 1:To determine f′(x) and f′′(x) for the given function f(x)=(x−1)(x+8)2, we can use the product…

Q: Differentiate the following function: y=6x' +5x -4x+2

A: Differentiate of the function

Q: d dx f(x)=sina, f(0) = 7.

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Q: 1. x = 4t3 – t2 +7t and y = t – 6

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Q: ylnx Iny da + dy = 0

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Q: Differentiate the function. H'(z) = H(z) = In c²-2² c²+z²

A: H(z)=lnc2-z2c2+z2

Q: SVx In(x)dx

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Q: calculate the value of coth-1(x) when x is greater than 1

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Q: da Vx(1+ x) 1. 8.

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Q: Determine the domain and range of function f(x) = elnñ — arcsin (1²²)

A: This question can be solved using the concept of domain and range of inverse trigonometric…

Q: Differentiate the following functions: xcosv y = xsin 5x 1. у%3D 2. y = x5.5V 3. уй 4. 3y = xsin 4x

A: As per the guidelines we can solve 2 parts only.

Q: if the implicit function is x3=at2, find the d2x/dt2

A: if the implicit function is x3=at2, find the d2x/dt2

Q: Which of the following functions are of exponential order? 1. e³t^2 2.4t³-9t+11 3. Sinh(t2)…

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Q: Find d/dx (x9/10). d/dx (x9/10)= ​(Type an exact​ answer

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Q: Integrate the given function. T/ 20 2 sec 5x -dp- 4 + tan5x 1/20 2 sec 5x 1 5 -In 4 - 4 + tan5x | LO

A: The given integration is: