Section 3.4 Examples
Differentiate the following functions.
1. \( \displaystyle f(x)= \sqrt[3]{x^4-x^2+e^2}\)
Solution
2. \( \displaystyle f(x)= e^{\sin{x}-2x^3+4x}\)
Solution
3. \( \displaystyle f(t)=te^{5t}\)
Solution
4. \( \displaystyle f(z)= \tan{(5-3z)}(\sqrt{z}+2z)^9\)
Solution
5. \( \displaystyle f(u)=12^{u+\sec{u}}\)
Solution
6. \( \displaystyle f(x)=\sqrt{\frac{e^x+e^{-x}}{\sec{(\sin{x})}}}\)
Solution
7. \( \displaystyle f(x)=\sin^3(e^{\cos^5 x})\)
Solution