What is the derivative of e^{6sin(7x)} ?

The derivative of e^{6sin(7x)} is e^{6sin(7x)}*42cos(7x)

What is the first derivative of e^{6sin(7x)} ?

The first derivative of e^{6sin(7x)} is e^{6sin(7x)}*42cos(7x)

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derivative of

e^{6 s i n (7 x)}

e^{6 s i n (7 x)} \cdot 42 cos (7 x)

Solution steps

\frac{d}{d x} (e^{6 s i n (7 x)})

Apply the chain rule:

e^{6 s i n (7 x)} \frac{d}{d x} (6 sin (7 x))

= e^{6 s i n (7 x)} \frac{d}{d x} (6 sin (7 x))

\frac{d}{d x} (6 sin (7 x)) = 42 cos (7 x)

= e^{6 s i n (7 x)} \cdot 42 cos (7 x)

\frac{d}{d x} (\frac{π}{3})

\int \frac{1}{7 + 8 x ^{2}} d x

n = 0 \sum \infty n! (x - 4)^{n}

\frac{d}{d x} (arctan (\frac{2 x}{1 + x ^{2}}))

What is the derivative of e^{6sin(7x)} ?
The derivative of e^{6sin(7x)} is e^{6sin(7x)}*42cos(7x)
What is the first derivative of e^{6sin(7x)} ?
The first derivative of e^{6sin(7x)} is e^{6sin(7x)}*42cos(7x)