Question Type 3: Applying product rule on multiplying functions Exercises

Differentiate $f(x) = \ln(x^2 + 1)\sin(x^3)$

Differentiate $f(x) = (2x - 1)^4(x^2 + 3)$

Differentiate $f(x) = x e^x \sin(x)$

Differentiate $f(x) = \sin(e^x + x^2)\ln(x^2 + 1)$.

Differentiate $f(x) = \frac{\sin(x)}{x^2}$.

Differentiate $f(x) = \ln(x)\sec(x)$.

Differentiate $f(x) = 3\ln(x)\sin(x)\cos(x)$

Differentiate $f(x) = (x^2 + 1)\arctan(x)$.

Differentiate $f(x) = e^{3x}\cos(2x)$.

Find the derivative of $f(x) = x^2 e^{2x}$.

Differentiate $f(x) = (x^3 + 1)\sqrt{x}\ln(x)$

Differentiate $f(x) = (x^2 + x)e^{x^2}$.