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Calculating the derivative of a function of the form $f(x)=ax+b$ from first principles.

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.