Compute the derivative, and simplify your answer. You must show your work. t3/2 +t1/2 dt d dx

Q: Differentiate the function. dy dx y = (9x2 - 2) (8x2 - 2x+6) =

A: The given function is y=(9x2-2)(8x2-2x+6)   To find: The derivative dydx=?

Q: Find the first derivative. y=T° + 2T5 -6T - T-7 P. ( +27 -6T-T-7) = dT

A: Explanation and solutions is given below....

Q: Find the equation of the tangent line when x = 4 and the curve y + 3

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Q: dx Vx + a + Vx + b

A: Given: The integral is ∫xx+a+x+bdx

Q: Integrate the function. dx XV 49x -4

A: Given: Let I=∫dxx49x2-4 To Find: To integrate the given function

Q: Differentiate the function. y= (5x- 1) (1-x°) dy %3D dx

A: Given that the function is      y = (5x-1)2(1-x3)4

Q: Differentiate the function. (2x + 3)5 y = (4x + 1) dy dx

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Q: dx d. de. f(3x + 2)5 dx f sec²x

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Q: Use the product rule to find the derivative of (−4x³ + 8x¹0) (4e² – 6). You do not need to expand…

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Q: Find the derivative. y e How did you determ

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Q: 2y = 18 Enter your answer

A: Make the coefficient of y as 1 so do the calculation accordingly.

Q: dy Find if dx y = (3x2 + 6x – vx)(5x + + 10). DO NOT SIMPLIFY.

A: