### Home > CALC > Chapter 7 > Lesson 7.2.1 > Problem7-65

7-65.

$\frac{d}{dx}a^{x}=\text{ln}x\cdot a^{x}$

$\lim_{x\to\pi}(3^{0.5\sin(x)}-2)$

This is Hana's definition of the derivative.

$\frac{d}{dx}\text{sin}x=\text{cos}x; \frac{d}{dx}\text{cos}x=-\text{sin}x$

Be mindful about positive and negative values.

This is Ana's definition of the derivative.

$g'\left ( \frac{\pi }{4} \right )={\_\_\_\_\_}$