Find the derivative of the function using the definition of derivative. f(t) = 7.5t + 2t f'(t) = State the domain of the function. (Enter your answer using interval notation.) (-00,00) State the domain of its derivative. (Enter your answer using interval notation.)

Q: What is the slope of the tangent line to the function: f (x) = In (2 x² + 2 x – 11) at the point…

A: To find the slope and equation of the tangent line to the function fx=ln2x2+2x-11 at point P(2,0).

Q: Find the derivative of the 1 f(x) = x5 + (x² + 7)(x² – x – 2) + 17 5.

A: Given: fx=15x5+x2+7x2-x-2+17

Q: Draw a graph to match the description. Answers will vary. F(x) has a positive derivative over (-o,…

A: Given that:                    f(x) has a positive derivative over (-∞, 5) and (-5, 4) and a…

Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

A:

Q: Find the derivative and state the domain of f(x) = In(x + 4) %3D

A: In this question, concept of derivative is used. Derivative The derivative expresses the rate of…

Q: 3 s(1) =v° (v* + 2v=1) f(v) =

A: