Let f(x) = 8x – 15x2 – 3, x2 1.5. Find the value of df -1 at the point x =1185= f(6). dx

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Q: Let ƒ(x) = x3 - 3x2 - 1, x>= 2. Find the value of dƒ -1/dx at the point x = -1 = ƒ(3).

A: We will need inverse function theorem. Statement of the theorem is:

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A: Please see the answer below.

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A: SOLUTION-

Q: For y = 5x2 + 10x – 3, find dy at x = 2 if dx 0.1. -

A: The given function is  y=5x2+10x-3

Q: dy Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) x2+1

A: See the details solution in below

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Q: A. Evaluate Inx dx. 2x B. Evaluate [(7x-10)dy dx. 0 x?

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Q: Find f(x)dxif 5 f(x)dx = -4 and f(x)dx = 8 f(x)dx = i

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Q: Find the value of df-1/dx at x= f(a). f(x) = x² - 4x + 2; a = 5 1 O A. 6 1 O B. 14 1 OC. 10 O D. 6

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Q: Find dy/dx of  1. y=x3 (2x2 -1)

A: Given, y = x3(2x2 -1) Multiplying the x3  with (2x2 - 1)  So, y = 2x5 - x3

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Q: For y = 5x2 + 10x - 3, find dy at x 4 if dx 0. 1.

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Q: Let ƒ(x) = x2 - 4x - 5, x&gt; 2. Find the value of dƒ -1/dx at thepoint x = 0 = ƒ(5).

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