en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

slope ofintercept (2,1),(5,-8)slope intercept

(2, 1), (5, - 8)

integral of sqrt(9-25x^2)

\int 9 - 25 x^{2} d x

integral from 1 to 3 of x/(sqrt(3+x^2))

\int_{1}^{3} \frac{x}{3 + x ^{2}} d x

integral from 0 to x^3 of (ye^{-y/x})

\int_{0}^{x^{3}} (y e^{- \frac{y}{x}}) d y

integral of 1/((x+4)(x+2))

\int \frac{1}{( x + 4 ) ( x + 2 )} 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