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Popular >

derivative of g(t)=t^7cos(t)

Solution

derivative of

g (t) = t^{7} cos (t)

Solution

7 t^{6} cos (t) - t^{7} sin (t)

Solution steps

\frac{d}{d t} (t^{7} cos (t))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = t^{7}, g = cos (t)

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

\frac{d}{d t} (t^{7}) = 7 t^{6}

\frac{d}{d t} (cos (t)) = - sin (t)

= 7 t^{6} cos (t) + (- sin (t)) t^{7}

Simplify

= 7 t^{6} cos (t) - t^{7} sin (t)

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\int 6 y (x - y) d y

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x \to 0 lim (\frac{2 x + 4 - 2}{x + 1 - 1})

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\frac{d}{d x} (e^{- x} - y)

Frequently Asked Questions (FAQ)

What is the derivative of g(t)=t^7cos(t) ?
The derivative of g(t)=t^7cos(t) is 7t^6cos(t)-t^7sin(t)
What is the first derivative of g(t)=t^7cos(t) ?
The first derivative of g(t)=t^7cos(t) is 7t^6cos(t)-t^7sin(t)