Mathematics, 20.11.2020 23:30 unknownday7

The derivative of a polynomial function, f(x), is represented by the equation f'(x) = -2x(x – 3)^2. Additionally, f(1) = -3. Use this information to answer the following questions.

PART A: On what interval(s) is the graph of f(x) increasing? Decreasing? Justify your reasoning.
PART B: At what value(s) of x does the graph of f(x)have relative maximum? A relative minimum?
Justify your reasoning.
PART C What is the equation of the tangent line to f at x = 1?

Answers: 2

Show answers

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 23:30, lraesingleton

Which expression gives the exact value of x?

Answers: 3

continue

Mathematics, 22.06.2019 00:00, andreaolvera

Add, subtract, multiply, or divide as indicated. list any restrictions for the variable(s) and simplify the answers when possible. 1) x-2 / x+5 + 3x / 2x-1 2) x+6 / x-6 - x^2 / x+6 3) x+9 / x-4 + x+2 / x^2-11x+28 4) x / x^2-64 + 11 / 2x^2+11x-40 5) 5 / x + 11 / x-3 - x-4 / x^2+2x-15

Answers: 1

continue

Mathematics, 22.06.2019 00:50, jasmine77723

How does the graph of y = 3x compare to the graph of y = 3-x?

Answers: 1

continue

Mathematics, 22.06.2019 01:00, pineapplepizaaaaa

Which number produces an irrational number multiplied by 1/3

Answers: 1

continue

You know the right answer?

The derivative of a polynomial function, f(x), is represented by the equation f'(x) = -2x(x – 3)^2....