Find the derivative of the function using the definition of derivative.
-$$f ( x ) = x ^ { 2 } + 7 x - 2$$
A) $f ^ { \prime } ( x ) = 2 x - 2$
B) $f ^ { \prime } ( x ) = 2 x + 7$
C) $f ^ { \prime } ( x ) = 2 x$
D) $f ^ { \prime } ( x ) = x + 7$

Question

Quizplus · Accepted Answer

The derivative of a function $f(x) = x^2 + 7x - 2$ using the power rule is $f'(x) = 2x + 7$. The power rule states that the derivative of $x^n$ is $nx^{n-1}$, so the derivative of $x^2$ is $2x$ and the derivative of $7x$ is $7$, while the derivative of a constant is $0$.

Find the Derivative of the Function Using the Definition of Derivative