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Popular >

derivative of y=ccos(t)+t^2sin(t)

Solution

derivative of

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

Solution

- 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}

Popular Examples

(\partial)/(\partial y)(x+2y+1)

\frac{\partial}{\partial y} (x + 2 y + 1)

laplacetransform 6cos(4t-1)laplace transform

6 cos (4 t - 1)

integral from 0 to 3 of-2x

\int_{0}^{3} - 2 x d x

tangent of f(x)=x^4+9e^x,\at x=0 tangent of

f (x) = x^{4} + 9 e^{x}, at x = 0

integral of (x^2)/(2^x)

\int \frac{x ^{2}}{2 ^{x}} d x

Frequently Asked Questions (FAQ)

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