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.

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