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Popular >

derivative of acos(t)+t^2sin(t)

Solution

derivative of

a cos (t) + t^{2} sin (t)

Solution

- a sin (t) + 2 t sin (t) + cos (t) t^{2}

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= - a sin (t) + 2 t sin (t) + cos (t) t^{2}

Graph

Popular Examples

integral from 0 to 2 of 1/((x-1)^{2/3)}

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

limit as x approaches 0-of (sin(x))^x

x \to 0 - lim ((sin (x))^{x})

(ln (2))^{^{'}}

derivative of sqrt(x+1)(sqrt(x+1))

\frac{d}{d x} (x + 1 (x + 1))

area y=x^2-21,y=7-3x area

y = x^{2} - 21, y = 7 - 3 x

Frequently Asked Questions (FAQ)

What is the derivative of acos(t)+t^2sin(t) ?
The derivative of acos(t)+t^2sin(t) is -asin(t)+2tsin(t)+cos(t)t^2
What is the first derivative of acos(t)+t^2sin(t) ?
The first derivative of acos(t)+t^2sin(t) is -asin(t)+2tsin(t)+cos(t)t^2