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Popular >

derivative of e^{2x}tan(x)

Solution

derivative of

e^{2 x} tan (x)

Solution

e^{2 x} \cdot 2 tan (x) + sec^{2} (x) e^{2 x}

Solution steps

\frac{d}{d x} (e^{2 x} tan (x))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = e^{2 x}, g = tan (x)

= \frac{d}{d x} (e^{2 x}) tan (x) + \frac{d}{d x} (tan (x)) e^{2 x}

\frac{d}{d x} (e^{2 x}) = e^{2 x} \cdot 2

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= e^{2 x} \cdot 2 tan (x) + sec^{2} (x) e^{2 x}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of e^{2x}tan(x) ?
The derivative of e^{2x}tan(x) is e^{2x}*2tan(x)+sec^2(x)e^{2x}
What is the first derivative of e^{2x}tan(x) ?
The first derivative of e^{2x}tan(x) is e^{2x}*2tan(x)+sec^2(x)e^{2x}