What is the derivative of f(t)=sin(t)-tcos(t) ?

The derivative of f(t)=sin(t)-tcos(t) is tsin(t)

What is the first derivative of f(t)=sin(t)-tcos(t) ?

The first derivative of f(t)=sin(t)-tcos(t) is tsin(t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (t) = sin (t) - t cos (t)

t sin (t)

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= cos (t) - (cos (t) - t sin (t))

Simplify

= t sin (t)

x^{2} y^{^{'}} - 2 x y = 4 y^{4}

\int (2 x + 6) d x

x^{2} - x - 1

f (x) = 2 x^{3} - x^{2} + 6, at x = 2

\int \frac{e ^{x}}{4 - e ^{2 x}} d x

What is the derivative of f(t)=sin(t)-tcos(t) ?
The derivative of f(t)=sin(t)-tcos(t) is tsin(t)
What is the first derivative of f(t)=sin(t)-tcos(t) ?
The first derivative of f(t)=sin(t)-tcos(t) is tsin(t)