en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x^4tan(x-sqrt(x))

Solution

\frac{d}{d x} (x^{4} tan (x) - x)

Solution

4 x^{3} tan (x) + sec^{2} (x) x^{4} - \frac{1}{2 x}

Solution steps

\frac{d}{d x} (x^{4} tan (x) - x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{4} tan (x)) - \frac{d}{d x} (x)

\frac{d}{d x} (x^{4} tan (x)) = 4 x^{3} tan (x) + sec^{2} (x) x^{4}

\frac{d}{d x} (x) = \frac{1}{2 x}

= 4 x^{3} tan (x) + sec^{2} (x) x^{4} - \frac{1}{2 x}

Graph

Popular Examples

derivative of ((e^{2x})/2)

\frac{d}{d x} (\frac{( e ^{2 x} )}{2})

derivative of y=x^9e^x derivative of

y = x^{9} e^{x}

integral of 12(e^{0.02x}-1)

\int 12 (e^{0.02 x} - 1) d x

integral of 1/(sqrt(9e^{-2u)-1)}

\int \frac{1}{9 e ^{- 2 u} - 1} d u

derivative of 2x^{-5}derivative of

2 x^{- 5}

Frequently Asked Questions (FAQ)

What is the derivative of x^4tan(x-sqrt(x)) ?
The derivative of x^4tan(x-sqrt(x)) is 4x^3tan(x)+sec^2(x)x^4-1/(2sqrt(x))
What is the first derivative of x^4tan(x-sqrt(x)) ?
The first derivative of x^4tan(x-sqrt(x)) is 4x^3tan(x)+sec^2(x)x^4-1/(2sqrt(x))