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

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

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

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

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\frac{d}{d t} (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 \frac{6}{x ^{2} ( x ^{2} + 25 )} d x

x \to 0 lim (x^{2} + x + 1)

y = x^{6} f (x)

e^{x - y} y^{^{'}} = x - 3

\frac{\partial}{\partial z} (x^{2} + y^{2} z)

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