Calculus/Differentiation/Exercises

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Set One: Find The Derivative By Definiton

1. $y=x^2$
2. $y=2x+2$
3. $y=\frac{1}{2}{x}^2$
4. $y=2x^2+4x+4$

Solutions to Set One

Set Two: Find The Derivative By Rules

Find the derivative of the following functions:

1. $2x^2+4$
2. $3\sqrt[3]{x}$
3. $\frac{1}{x^2}+3x^{\frac{1}{3}}$
4. $\ln x-2e^x+\sqrt{x}$
5. $\sin (x)+\cos (x)$
6. $(x+5{)}^2$
7. $\sqrt{1+x^2}$
8. $x^3*2\sqrt{y}$
9. $2\sqrt{x}*\frac{1}{y^4}$
10. $\sqrt{2x^2+1}*(3x^4+2x{)}^2$
11. $4^x$
12. $2^{x-3}*3\sqrt{x^3-2}+\ln x$
13. $e^x*y^2*z^4$
14. ${\log }_{4}x+2\ln x$
15. $3e^x-4\cos (x)-\frac{1}{4}\ln x$

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Solutions to Set Two

Set Three: Higher Order Derivatives

[Insert Numbered Problems & Exercises Here]

Solutions to Set Three

Set One A: ?

[Insert Numbered Problems & Exercises Here]

Solutions to Set One A