Find the derivative of $f ( x ) = 7 x ^ { 2 } - 9 x + 4$.
A) $14 x - 9$
B) $7 x - 9$
C) $14 x - 5$
D) $7 x - 5$
E) $14 x$

Question

Quizplus · Accepted Answer

The derivative of a polynomial function is found by applying the power rule, which states that $d/dx [x^n] = nx^{n-1}$. Applying this rule to each term in the polynomial $f(x) = 7x^2 - 9x + 4$, we get the derivative $f'(x) = 14x - 9$. The constant term (4) disappears because the derivative of a constant is 0.

Find the Derivative Of f(x)=7x2−9x+4f ( x ) = 7 x ^ { 2 } - 9 x + 4f(x)=7x2−9x+4

Find the Derivative Of $f ( x ) = 7 x ^ { 2 } - 9 x + 4$