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Popular >

derivative of e^{8tsin(2t)}

Solution

derivative of

e^{8 t s i n (2 t)}

Solution

e^{8 t s i n (2 t)} \cdot 8 (sin (2 t) + 2 t cos (2 t))

Solution steps

\frac{d}{d t} (e^{8 t s i n (2 t)})

Apply the chain rule:

e^{8 t s i n (2 t)} \frac{d}{d t} (8 t sin (2 t))

= e^{8 t s i n (2 t)} \frac{d}{d t} (8 t sin (2 t))

\frac{d}{d t} (8 t sin (2 t)) = 8 (sin (2 t) + 2 t cos (2 t))

= e^{8 t s i n (2 t)} \cdot 8 (sin (2 t) + 2 t cos (2 t))

Popular Examples

derivative of ln(8x^2+7x+2)

\frac{d}{d x} (ln (8 x^{2} + 7 x + 2))

integral from 1 to 3 of 7/(16-x^2)

\int_{1}^{3} \frac{7}{16 - x ^{2}} d x

integral of (26x^3-52x^2+7)/(x^2-2x)

\int \frac{26 x ^{3} - 52 x ^{2} + 7}{x ^{2} - 2 x} d x

derivative of ln(9)derivative of

ln (9)

integral from 0 to 1 of x/((x^2+1)^3)

\int_{0}^{1} \frac{x}{( x ^{2} + 1 ) ^{3}} d x

Frequently Asked Questions (FAQ)

What is the derivative of e^{8tsin(2t)} ?
The derivative of e^{8tsin(2t)} is e^{8tsin(2t)}*8(sin(2t)+2tcos(2t))
What is the first derivative of e^{8tsin(2t)} ?
The first derivative of e^{8tsin(2t)} is e^{8tsin(2t)}*8(sin(2t)+2tcos(2t))