What is the derivative of e^{7xsin(2x}) ?

The derivative of e^{7xsin(2x}) is e^{7xsin(2x)}*7(sin(2x)+2xcos(2x))

What is the first derivative of e^{7xsin(2x}) ?

The first derivative of e^{7xsin(2x}) is e^{7xsin(2x)}*7(sin(2x)+2xcos(2x))

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\frac{d}{d x} (e^{7 x s i n (2 x)})

e^{7 x s i n (2 x)} \cdot 7 (sin (2 x) + 2 x cos (2 x))

Solution steps

\frac{d}{d x} (e^{7 x s i n (2 x)})

Apply the chain rule:

e^{7 x s i n (2 x)} \frac{d}{d x} (7 x sin (2 x))

= e^{7 x s i n (2 x)} \frac{d}{d x} (7 x sin (2 x))

\frac{d}{d x} (7 x sin (2 x)) = 7 (sin (2 x) + 2 x cos (2 x))

= e^{7 x s i n (2 x)} \cdot 7 (sin (2 x) + 2 x cos (2 x))

\int sin (2 x + 1) d x

\frac{d}{d t} (\frac{2}{3} t^{\frac{3}{2}})

f (x) = 6 - x

y = 5 x^{2} - 6 x + 3, (0, 3)

x^{s i n (1)}

What is the derivative of e^{7xsin(2x}) ?
The derivative of e^{7xsin(2x}) is e^{7xsin(2x)}*7(sin(2x)+2xcos(2x))
What is the first derivative of e^{7xsin(2x}) ?
The first derivative of e^{7xsin(2x}) is e^{7xsin(2x)}*7(sin(2x)+2xcos(2x))