Full of Math Examples
FULL OF MATH EXAMPLES

# Differentiation Problems

Here is the differentiation problem set to test your differentiation skills.

## Differentiation chain rule exercises

Explore these Differentiation examples to learn.

1. $\tan (2 x+3)$

2. $\sin \left(\cos \left(x^{2}\right)\right)$

3. $\frac{\sin (a x+b)}{\cos (c x+d)}$

4. $\sin \left(x^{2}+5\right)$

5. $\cos (\sin x)$

6. $\sin (a x+b)$

7. $\sec (\tan (\sqrt{x}))$

8. $\cos x^{3} \cdot \sin ^{2}\left(x^{5}\right)$

## Differentiation product rule problems

These Problems can be easily solve using differentiation product rules .

1. $y=x^{2} \cos 3 x$

2. $y=\left(1-x^{3}\right) e^{2 x}$

3. $y=x^{3}(4-x)^{1 / 2}$

4. $x \mathrm{e}^{x} \sin x$

5. $x \tan x$

6. $x^{2} \mathrm{e}^{-x}$

## Differentiation quotient rule exercises

Solve these problems using differentiation quotient rule .

1. $\frac{\cos x}{x^{2}}$

2. $\frac{\mathrm{e}^{2 x}}{x}$

3. $\frac{3 x-4}{2 x+1}$

4. $\frac{\sin x}{x}$

5. $\frac{\mathrm{e}^{-3 x}}{x^{2}+1}$

6. $\frac{x^{2}+6}{2 x-7}$

## Logarithmic differentiation problems

These Problems can be easily solve using logarithmic differentiation .

1. $x^{\sin x}, x\gt 0$

2. $a^{x}$

3. $y^{x}+x^{y}+x^{x}=a^{b}$

4. $x^{y}+y^{x}=1$

5. $y^{x}=x^{y}$

6. $x y=e^{(x-y)}$

Solve these math problems by yourself.

If you could not solve a problem ask for help using post your problem .