Calculus homework due 3-13-14

Find the derivative of each of the following functions

1. f(x)=\frac{\sqrt{x}}{x+1}

2. f(x)=\frac{e^x}{2x}

3. f(x)=\frac{x^3+x}{4x+3}

4. f(x)=e^x(x^2+6x+1)

5. f(x)=\frac{x^3}{3}+\frac{1}{e^x}+\frac{\sqrt{x}}{5x^2-x}

6. f(x)=(e^x+a)(x^{\frac{2}{3}}-a)

7. f(x)=7x^{\frac{7}{5}}+6x^{\frac{5}{4}}+2\sqrt[4]{x}

8. f(x)=\sqrt[3]{x}(3+7x)

9. f(x)=\frac{\sqrt[3]{x}}{4x^5+x^4+7x^3+5x^2+6x+4}

10. f(x)=ce^xx^r

11. f(x)=\frac{e^x}{x^a+a}

12. f(x)=(x-\sqrt{x})(4x^{\frac{2}{3}}+e)-(\pi-\frac{4x^3}{3})(x^2+y^2)


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