What is the d/(dt)(t^2sin(t)) ?

The d/(dt)(t^2sin(t)) is 2tsin(t)+cos(t)t^2

What is the first d/(dt)(t^2sin(t)) ?

The first d/(dt)(t^2sin(t)) is 2tsin(t)+cos(t)t^2

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\frac{d}{d t} (t^{2} sin (t))

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

Solution steps

\frac{d}{d t} (t^{2} sin (t))

Apply the Product Rule:

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

f = t^{2}, g = sin (t)

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

\frac{d}{d t} (t^{2}) = 2 t

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

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

e^{t} - π

\int \frac{csc ( 7 θ )}{csc ( 7 θ ) - sin ( 7 θ )} d θ

x \to 3 lim (4 x - 5)

\frac{d}{d x} (tan^{2} (n x))

- \frac{4}{5} sin (x)

What is the d/(dt)(t^2sin(t)) ?
The d/(dt)(t^2sin(t)) is 2tsin(t)+cos(t)t^2
What is the first d/(dt)(t^2sin(t)) ?
The first d/(dt)(t^2sin(t)) is 2tsin(t)+cos(t)t^2