Найдите производные следующих функций: f(x) = x³ - 3x² + 5x - 3 f(x) = 2x³ + x² - 3x + 3 f(x) = eˣ ⋅ cos x f(x) = 3ˣ ⋅ log₃ x f(x) = (x² + 2) / (x - 3) f(x) = (x² - 2) / (x² - 4) f(x) = ⁴√x f(x) = sin x / (1 + cos x) f(x) = (2 cos x) / (x² +

Производные
\[
\begin{array}{l}
f(x)=x^{3}-3 x^{2}+5 x-3, f^{\prime}(x)= \\
f(x)=2 x^{3}+x^{2}-3 x+3, f^{\prime}(x)= \\
f(x)=e^{x} \cdot \cos x, f^{\prime}(x)= \\
f(x)=3^{x} \cdot \log _{3} x, f^{\prime}(x)= \\
f(x)=\frac{x^{2}+2}{x-3}, f^{\prime}(x)= \\
f(x)=\frac{x^{2}-2}{x^{2}-4}, f^{\prime}(x)= \\
f(x)=\sqrt[4]{x}, f^{\prime}(x)= \\
f(x)=\frac{\sin x}{1+\cos x}, f^{\prime}(x)= \\
f(x)=\frac{2 \cos x}{x^{2}+4}, f^{\prime}(x)= \\
f(x)=x^{2} \sin x, f^{\prime}(x)= \\
f(x)=5 \sqrt[5]{x^{3}} \cdot f^{\prime}(x)= \\
f(x)=5^{x}-2 \sqrt{x+1}, f^{\prime}(x)= \\
f(x)=\frac{324}{x}-x+6, f^{\prime}(x)= \\
f(x)=-\frac{2}{3} x \sqrt{x}+3 x+15, f^{\prime}(x)= \\
f(x)=2 x^{2}-13 x+9 \ln x+8, f^{\prime}(x)= \\
\hline
\end{array}
\]