What is the derivative of cot^2(t)+2^t ?

The derivative of cot^2(t)+2^t is -2csc^2(t)cot(t)+2^tln(2)

What is the first derivative of cot^2(t)+2^t ?

The first derivative of cot^2(t)+2^t is -2csc^2(t)cot(t)+2^tln(2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

cot^{2} (t) + 2^{t}

- 2 csc^{2} (t) cot (t) + 2^{t} ln (2)

Solution steps

\frac{d}{d t} (cot^{2} (t) + 2^{t})

Apply the Sum/Difference Rule:

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

= \frac{d}{d t} (cot^{2} (t)) + \frac{d}{d t} (2^{t})

\frac{d}{d t} (cot^{2} (t)) = - 2 csc^{2} (t) cot (t)

\frac{d}{d t} (2^{t}) = 2^{t} ln (2)

= - 2 csc^{2} (t) cot (t) + 2^{t} ln (2)

y = 1 + 3 x - x^{2}

y = \frac{e ^{x} + sin ( x )}{2}

x^{1 - x}

y = x - 2

tan^{3} (\frac{x}{sin ( x )})

What is the derivative of cot^2(t)+2^t ?
The derivative of cot^2(t)+2^t is -2csc^2(t)cot(t)+2^tln(2)
What is the first derivative of cot^2(t)+2^t ?
The first derivative of cot^2(t)+2^t is -2csc^2(t)cot(t)+2^tln(2)