en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 2^x+2cos((2x/2))

Solution

\frac{d}{d x} (2^{x} + 2 cos (\frac{2 x}{2}))

Solution

2^{x} ln (2) - 2 sin (x)

Solution steps

\frac{d}{d x} (2^{x} + 2 cos (\frac{2 x}{2}))

Simplify

2^{x} + 2 cos (\frac{2 x}{2}) : 2^{x} + 2 cos (x)

= \frac{d}{d x} (2^{x} + 2 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2^{x}) + \frac{d}{d x} (2 cos (x))

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

\frac{d}{d x} (2 cos (x)) = - 2 sin (x)

= 2^{x} ln (2) - 2 sin (x)

Popular Examples

integral of 7x^3sqrt(x^4+6)

\int 7 x^{3} x^{4} + 6 d x

slope of (-9,-3),(7,-7)slope

(- 9, - 3), (7, - 7)

derivative of pie^{(2/(pix)})

\frac{d}{d x} (π e^{(\frac{2}{π x})})

derivative of (40)/(0.01x^2+1)derivative of

\frac{40}{0.01 x ^{2} + 1}

(\partial)/(\partial z)(2z^{10})

\frac{\partial}{\partial z} (2 z^{10})

Frequently Asked Questions (FAQ)

What is the derivative of 2^x+2cos((2x/2)) ?
The derivative of 2^x+2cos((2x/2)) is 2^xln(2)-2sin(x)
What is the first derivative of 2^x+2cos((2x/2)) ?
The first derivative of 2^x+2cos((2x/2)) is 2^xln(2)-2sin(x)