What is the derivative of y=acos(t)+t^2sin(t) ?

The derivative of y=acos(t)+t^2sin(t) is -asin(t)+2tsin(t)+cos(t)t^2

What is the first derivative of y=acos(t)+t^2sin(t) ?

The first derivative of y=acos(t)+t^2sin(t) is -asin(t)+2tsin(t)+cos(t)t^2

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derivative of

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

- 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}

\frac{\partial}{\partial x} ((x + y) e^{x + y})

x \to 7 lim (4)

n = 0 \sum \infty \frac{1}{1 ^{n}}

6 x - x^{2}

\int \frac{14}{x ^{8}} d x

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