# Calculus homework due 4-23-15

Find the derivative of each of the following functions.

1. $f(x)=\sin\left(\frac{x^3+1}{e^x}\right)$

2. $f(x)=e^{\tan(4x)}$

3. $f(x)=\sec\left(\frac{x^3}{3}-x^2\right)$

4. $f(x)=\sqrt{x^4+x^2}+x^2$

1. $f(x)=\sin\left(\frac{x^3+1}{e^x}\right)$
2. $f(x)=e^{\tan(4x)}$
3. $f(x)=\sec\left(\frac{x^3}{3}-x^2\right)$
4. $f(x)=\sqrt{x^4+x^2}+x^2$