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Find the derivative of f(x)\, with respect to x\,: f(x)=6e^{{3x}}\tan(5x)\,

Taking the derivative of this function involves the product rule. Also, remember for the seperate functions, e^{{3x}}\, and \tan(5x)\,, we must use the chain rule.

f'(x)=6[3e^{{3x}}\tan(5x)+5e^{{3x}}\sec ^{2}(5x)]=18e^{{3x}}\tan(5x)+30e^{{3x}}\sec ^{2}(5x)\,

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