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Popular >

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

Solution

derivative of

f (t) = e^{7 t \cdot 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

derivative of (1-sqrt(2x)^3)

\frac{d}{d x} ((1 - 2 x)^{3})

integral of e^{2x}sin(4x)

\int e^{2 x} sin (4 x) d x

integral from 0 to 4 of (x-1)/(x^2-4x-5)

\int_{0}^{4} \frac{x - 1}{x ^{2} - 4 x - 5} d x

derivative of f(x)=\sqrt[5]{x}(x+4)derivative of

(\partial)/(\partial x)(-xe^xsin(y))

\frac{\partial}{\partial x} (- x e^{x} sin (y))

Frequently Asked Questions (FAQ)

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