Question

# Find derivatives of the functions defined as follows.f(x)=e^(x sqrt(3x+2))

Derivatives

Find derivatives of the functions defined as follows. $$f(x)=e^{x\sqrt{3x+2}}$$

$$f(x)=e^{x\sqrt{3x+2}}$$ $$\frac{3x}{2\sqrt{3x+2}}+\sqrt{3x+2}$$
$$=e^{x \sqrt{3x+2}}$$ $$\frac{6x+5}{2\sqrt{3x+2}}$$