Calculate the first, second, and third derivatives of y(t) = 2016/5 – 6127. (Use symbolic notation and fractions where needed.) y (1) = y" (t) = y"(1t) =

Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

Q: Find the second derivative of the function h. h(x) = (10 – x2) (5x + 17)

A: Here, h(x)=(10-x2)(5x+17)

Q: Find the derivative of the function. h(x) = In[(2x + 8)(3x +6)] a. (2x + 8) (3x +6) 1 1 Ob. (2x + 8)…

A: The objective is to find the derivative of the function h(x) .

Q: Find the derivative of the function. y = e In(7x)

A:

Q: b.) y = x²ln (2x + 3)

A:

Q: Find the second derivative of h(x) = 6(?3 + 4)3

A: Solution : The objective is to find the second derivative of the given function