Find the derivative of f(x) = x² + 3x + 2. A) x + 3 B) 2x² + 2 C) 2x + 3 D) -2x - 3

Question

Quizplus · Accepted Answer

The derivative of $f(x) = x^{12} + 3x + 2$ is found by applying the power rule and the sum rule of differentiation. The derivative of $x^{12}$ is $12x^{11}$, the derivative of $3x$ is $3$, and the derivative of a constant (2) is 0. Therefore, the derivative $f'(x) = 12x^{11} + 3$. However, none of the provided options correctly matches this derivative, suggesting a potential misunderstanding or typo in the question or options. Based on the options given, option C, "2x + 3," is the closest to a standard derivative form, but it does not accurately represent the derivative of the given function.

Find the Derivative of F(x) = X2 + 3x

Find the Derivative of F(x) = X² + 3x