Math question help ?
What is the instantaneous rate of change for the function f(x)=7x^3-2x^2 at x=2
- llafferLv 74 weeks ago
You can get the first derivative of a polynomial by following this set of directions for each term:
The new coefficient is the product of the old coefficient and the old exponent.
The new exponent is the old exponent minus 1.
If the term has an exponent of 1 it becomes a constant.
If the term is a constant it drops off.
f(x) = 7x³ - 2x²
f'(x) = 21x² - 4x
At x = 2, we get:
f'(2) = 21(2)² - 4(2)
f'(2) = 21(4) - 4(2)
f'(2) = 84 - 8
f'(2) = 76