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Popular >

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

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Popular Examples

integral from 0 to 1 of x(1-x)^{10}

\int_{0}^{1} x (1 - x)^{10} d x

y y^{^{'}} - 21 e^{x} = 0

sum from n=1 to infinity of 1/(6^n)

n = 1 \sum \infty \frac{1}{6 ^{n}}

(\partial)/(\partial x)((2x)/(x^2+7y))

\frac{\partial}{\partial x} (\frac{2 x}{x ^{2} + 7 y})

derivative of (1-t)(1+t^2)^{-1}derivative of

(1 - t) (1 + t^{2})^{- 1}

Frequently Asked Questions (FAQ)

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