Find the derivative of f(x) = -10x² + 4x at x = 11.

Solution:

A derivative is the rate of change of a quantity y with respect to another quantity x.

A derivative is also termed the differential coefficient of y with respect to x.

Differentiation is the process of finding the derivative of a function.

The derivative of the equation f(x) is

f’(x) = df(x)/dx

f’(x) = (-20)x + 4

At x = 11

f’(x) = (-20)(11) + 4 = -220 + 4 = -216

Find the derivative of f(x) = -10x² + 4x at x = 11.

Summary:

The derivative of f(x) = -10x² + 4x at x = 11.is -216