What is the derivative of e^xtan(x) ?

The derivative of e^xtan(x) is e^xtan(x)+sec^2(x)e^x

What is the first derivative of e^xtan(x) ?

The first derivative of e^xtan(x) is e^xtan(x)+sec^2(x)e^x

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

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

Solution steps

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

Apply the Product Rule:

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

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

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

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

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

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

x \to 0 + lim (x^{s i n (3 x)})

\int (1 - cos (\frac{t}{2}))^{2} sin (\frac{t}{2}) d t

\int 2 x e^{2 x^{2}} d x

\frac{d y}{d x} = y - x^{2}

y^{^{''}} - 10 y^{^{'}} + 25 = 0

What is the derivative of e^xtan(x) ?
The derivative of e^xtan(x) is e^xtan(x)+sec^2(x)e^x
What is the first derivative of e^xtan(x) ?
The first derivative of e^xtan(x) is e^xtan(x)+sec^2(x)e^x