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Popular >

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

Solution

derivative of

f (t) = 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

tangent of f(x)=x(27x^{-2}+2),\at x=-3 tangent of

f (x) = x (27 x^{- 2} + 2), at x = - 3

(\partial)/(\partial x)((x-1)/(x+1))

\frac{\partial}{\partial x} (\frac{x - 1}{x + 1})

integral from 0 to infinity of 1/(e^x-1)

\int_{0}^{\infty} \frac{1}{e ^{x} - 1} d x

d/(dt)(1/6 t^3)

\frac{d}{d t} (\frac{1}{6} t^{3})

integral of (xsqrt(x^2+3))

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

Frequently Asked Questions (FAQ)

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