What is the derivative of ccos(t)+t^2sin(t) ?

The derivative of ccos(t)+t^2sin(t) is -csin(t)+2tsin(t)+cos(t)t^2

What is the first derivative of ccos(t)+t^2sin(t) ?

The first derivative of ccos(t)+t^2sin(t) is -csin(t)+2tsin(t)+cos(t)t^2

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derivative of

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\int (2 + 2 cos (θ))^{2} d θ

\int \frac{1}{4 x ^{2} + 4 x + 10} d x

\frac{d y}{d x} = (3 x^{2} y)

4 x, 8 x^{2}

f (x) = x^{2} - 4, at x = - 5, 21

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