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Popular >

d/(dt)(acos(t)+t^2sin(t))

Solution

\frac{d}{d t} (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}

Popular Examples

derivative of g(t)=sqrt(3t+\sqrt{5t+9)}derivative of

g (t) = 3 t + 5 t + 9

(2x+8y)dx+(8x+4y)dy=0

(2 x + 8 y) d x + (8 x + 4 y) d y = 0

derivative of f(x)= x/(x^2-5)derivative of

f (x) = \frac{x}{x ^{2} - 5}

limit as x approaches-1 of (x^3+1)/(x+1)

x \to - 1 lim (\frac{x ^{3} + 1}{x + 1})

tangent of f(x)= 4/(3x-1),\at x=3 tangent of

f (x) = \frac{4}{3 x - 1}, at x = 3

Frequently Asked Questions (FAQ)

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