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Find the derivative of a function of the form $y=a \tan(bx+c)$ using a table of derivatives.

Find the derivative of a function of the form $y=a \cos(bx+c)$ using a table of derivatives.

Find the derivative of a function of the form $y=a \sin(bx+c)$ using a table of derivatives.

Calculating the derivative of an exponential function of the form $ae^{bx}$, using a table of derivatives.

Calculating the derivative of a function of the form $a \ln(bx)$ using a table of derivatives.

Find the derivative of a function of the form $y=a_1x^{b_1}+a_2x^{b_2}+a_3x^{b_3}$ using a table of derivatives.

Calculating the derivative of a function of the form $\frac{(x^2-a)^n}{x^2+a}$ using the quotient rule.

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

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.