Differentiate the function. t(t² + 1)8 g'(t) = g(t) = In 2t - 1 6 7(16x²(x² + 1)7 + (x² + 1)8) √/2x−1 (2x − 1) * - 2x (x² + 1)8 - 7x(x²+1) 8 (2x-1)

The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.

A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?

Differentiate. f(x) = In (4x + 1)(x+7)³ (1 - 6x)5

List the zero's of f(x) = x³ + 3x² − 4x. X =

Find the derivative of the function. Ax) = 7x? (6 - 9x)* O (-14x)(6 - 9x) (7x-6) O (-42x)(6- 9x)(9x- 2) O 56x(6 - 9x) O (14x)(6- 9x) (7x - 6) (-21x²)(6 - 92)* (3x - 6)

Differentiate the function f(x) =x*(1– 4x?)3. Express your answer in simplified, factored form.