Question

Find the value of the derivative.

A {d y}{d x}--->_{x=-3}{ if } y=1-2 x²
B {d y}{d x}--->_{x=-3}=

Answer 1

The value of the derivative of the function y = 1 - 2x² at x = -3 is 12, calculated by applying the power rule of differentiation and substituting x with -3.

Step-by-step explanation:

The student is asked to find the value of the derivative of the function y = 1 - 2x² at x = -3. To find the derivative, we apply the power rule of differentiation. The derivative of y with respect to x is dy/dx = -4x. We then evaluate this derivative at x = -3, which gives us dy/dx at x = -3 is -4(-3) = 12. Therefore, the value of the derivative at x = -3 is 12.