Find the derivative of $f ( x ) = 4 x ^ { 2 } + 2 x + 3$.
A) $8 x + 2$
B) $4 x + 2$
C) $8 x + 5$
D) $4 x + 5$
E) $8 x$

Question

Quizplus · Accepted Answer

The derivative of a polynomial function is found by applying the power rule, which states that $d/dx [x^n] = n*x^{n-1}$. Applying this rule to each term in the polynomial $f(x) = 4x^2 + 2x + 3$, we get the derivative as $f'(x) = 8x + 2$, since the derivative of a constant term (like 3) is 0.

Find the Derivative Of f(x)=4x2+2x+3f ( x ) = 4 x ^ { 2 } + 2 x + 3f(x)=4x2+2x+3

Find the Derivative Of $f ( x ) = 4 x ^ { 2 } + 2 x + 3$