What is the (e^xsin(x))^' ?

The (e^xsin(x))^' is e^xsin(x)+cos(x)e^x

What is the first (e^xsin(x))^' ?

The first (e^xsin(x))^' is e^xsin(x)+cos(x)e^x

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(e^{x} sin (x))^{^{'}}

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

Solution steps

(e^{x} sin (x))^{'}

Apply the Product Rule:

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

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

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

(e^{x})^{'} = e^{x}

(sin (x))^{'} = cos (x)

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

\int 13 x^{2} d x

(x^{2} - 5 x + 8) (3 x^{2} - 2)

\frac{1}{s ^{5}}

y = 0.7 (x + 0.2)^{3} + 4, 1, - 0.1

\frac{d}{d x} (ln (\frac{9 + e ^{x}}{9 - e ^{x}}))

What is the (e^xsin(x))^' ?
The (e^xsin(x))^' is e^xsin(x)+cos(x)e^x
What is the first (e^xsin(x))^' ?
The first (e^xsin(x))^' is e^xsin(x)+cos(x)e^x