MathProblemsBank

2.2.32 Derivatives and differentials

Condition: Find the derivative of these functions. Don't simplify the result. a) \( y=\arcsin 2 x-\cot \frac{2 x}{3}+\frac{1}{4}+5 \cdot e^{-x} \) b) \( y=\sqrt[5]{x}+5 \ln \left(1+x^{2}\right)+\sqrt{x} \cdot \operatorname{arccot}^{3} x \) c) \( y=\frac{x^{4}}{3^{x}-1}+\frac{1}{\sqrt[3]{2-5 x}} \).

Calculation of derivatives and differentials of first and higher orders of functions of one and many variables, including partial derivatives.

-> Derivatives and differentials