turkey-yks 2010 Q39

turkey-yks · Other · lys1-math Differentiating Transcendental Functions Evaluate derivative at a point or find tangent slope

$$f(x) = \ln\left(\sin^{2} x + e^{2x}\right)$$
Given this, what is $f'(0)$?
A) $e$
B) $1$
C) $\frac{1}{2}$
D) $\frac{\sqrt{2}}{2}$
E) $2$

$$f(x) = \ln\left(\sin^{2} x + e^{2x}\right)$$

Given this, what is $f'(0)$?

A) $e$\\
B) $1$\\
C) $\frac{1}{2}$\\
D) $\frac{\sqrt{2}}{2}$\\
E) $2$