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 $ax^n e^{bx}$ 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 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.

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

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

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

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

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

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

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

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

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

Calculating the derivative of a function of the form $k(ax^m+b)^n$ using the chain rule.

Calculating the derivative of a function of the form $k(ax+b)^n$ using the chain rule.

Solving a differential equation of the form $\frac{dy}{dx}=a \cos(x) e^{-y}$ using separation of variables.