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Popular >

derivative of y=e^{7tsin(2t)}

Solution

derivative of

y = e^{7 t s i n (2 t)}

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Popular Examples

integral of (x^{3/2}+4x+6)

\int (x^{\frac{3}{2}} + 4 x + 6) d x

integral of 1/4 e^{-x/4}

\int \frac{1}{4} e^{- \frac{x}{4}} d x

tangent of y=f(x),\at x=2 tangent of

y = f (x), at x = 2

limit as x approaches-2-of (-3)/(x^2-4)

x \to - 2 - lim (\frac{- 3}{x ^{2} - 4})

sum from n=1 to infinity of 1/(n^3+2)

n = 1 \sum \infty \frac{1}{n ^{3} + 2}

Frequently Asked Questions (FAQ)

What is the derivative of y=e^{7tsin(2t)} ?
The derivative of y=e^{7tsin(2t)} is e^{7tsin(2t)}*7(sin(2t)+2tcos(2t))
What is the first derivative of y=e^{7tsin(2t)} ?
The first derivative of y=e^{7tsin(2t)} is e^{7tsin(2t)}*7(sin(2t)+2tcos(2t))