Calculating the derivative of a function of the form $\frac{\ln(x)}{ax^n}$ using the quotient rule.

Calculating the derivative of a function of the form $\frac{e^{kx}}{ax^2+bx+c}$ using the quotient rule.

Calculating the derivative of a function of the form $\frac{a\sin(x)}{bx+c \cos(x)}$ using the quotient rule.

Calculating the derivative of a function of the form $\frac{ax^n+bx^m}{cx^p+d}$ using the quotient rule.

Calculating the derivative of a function of the form $\frac{ax^n}{bx+c}$ using the quotient rule.

Calculating the derivative of a function of the form $(ax+b)^n(cx+d)^m$ using the product rule.

Calculating the derivative of a function of the form $ax^n(bx^m+c)^p$ using the product rule.

Calculating the derivative of a function of the form $e^{ax} \ln(bx)$ using the product rule.

Calculating the derivative of a function of the form $\ln(ax) \tan(bx)$ using the product rule.

Calculating the derivative of a function of the form $\ln(ax) \cos(bx)$ using the product rule.

Calculating the derivative of a function of the form $\ln(ax) \sin(bx)$ using the product rule.

Calculating the derivative of a function of the form $e^{ax}\tan(bx)$ using the prouct rule.

Calculating the derivative of a function of the form $e^{ax}\cos(bx)$ using the prouct rule.

Calculating the derivative of a function of the form $e^{ax}\sin(bx)$ using the prouct rule.

Calculating the derivative of a function of the form $ax^n \ln(bx)$ using the product rule.

Calculating the derivative of a function of the form $ax^n e^{bx}$ using the product rule.

Calculating the derivative a function of the form $ax^n \tan(bx)$ using the product rule.

Calculating the derivative a function of the form $ax^n \cos(bx)$ using the product rule.

Calculating the derivative a function of the form $ax^n \sin(bx)$ using the product rule.

Calculating the derivative of a function of the form $\sin(e^{ax})+b e^{\cos(cx)}$ using the chain rule.

Calculating the derivative of a function of the form $\ln(ax^n+\tan(bx+c))$ using the chain rule.

Calculating the derivative of a function of the form $\ln(ax^n+\cos(bx+c))$ using the chain rule.

Calculating the derivative of a function of the form $\ln(ax^n+\sin(bx+c))$ using the chain rule.

Calculating the derivative of a function of the form $\ln(ax^n+e^{bx})$ using the chain rule.

Calculating the derivative of a function of the form $\ln(ax^n+bx^m)$ using the chain rule.

Calculating the derivative of a function of the form $e^{\sin(ax+b)+\cos(cx+d)}$ using the chain rule.

Calculating the derivative of a function of the form $e^{\cos(ax+b)}$ using the chain rule.

Calculating the derivative of a function of the form $e^{\sin(ax+b)}$ using the chain rule.

Calculating the derivative of a function of the form $e^{ax^n+\ln(bx)+c}$ using the chain rule.

Calculating the derivative of a function of the form $e^{ax^n+bx^m}$ using the chain rule.