What is the derivative of e^xsin^2(x) ?

The derivative of e^xsin^2(x) is e^xsin^2(x)+sin(2x)e^x

What is the first derivative of e^xsin^2(x) ?

The first derivative of e^xsin^2(x) is e^xsin^2(x)+sin(2x)e^x

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

e^{x} sin^{2} (x) + sin (2 x) e^{x}

Solution steps

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

Apply the Product Rule:

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

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

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

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

\frac{d}{d x} (sin^{2} (x)) = sin (2 x)

= e^{x} sin^{2} (x) + sin (2 x) e^{x}

\int \frac{4}{175} x^{3} d x

\frac{d}{d x} (cos (tan (7 x)))

\frac{d}{d x} (x 3 + x^{2})

tan (x) - sin (x)

\frac{\partial}{\partial x} (ln (x + 8 y + 7 z))

What is the derivative of e^xsin^2(x) ?
The derivative of e^xsin^2(x) is e^xsin^2(x)+sin(2x)e^x
What is the first derivative of e^xsin^2(x) ?
The first derivative of e^xsin^2(x) is e^xsin^2(x)+sin(2x)e^x