en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 10x^{1.5}-6x^{0.5}

Solution

derivative of

10 x^{1.5} - 6 x^{0.5}

Solution

\frac{- 3 + 15 x}{x ^{\frac{1}{2}}}

Solution steps

\frac{d}{d x} (10 x^{1.5} - 6 x^{0.5})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10 x^{1.5}) - \frac{d}{d x} (6 x^{0.5})

\frac{d}{d x} (10 x^{1.5}) = 15 x^{0.5}

\frac{d}{d x} (6 x^{0.5}) = \frac{3}{x ^{0.5}}

= 15 x^{0.5} - \frac{3}{x ^{0.5}}

Simplify

15 x^{\frac{1}{2}} - \frac{3}{x ^{\frac{1}{2}}} : \frac{- 3 + 15 x}{x ^{\frac{1}{2}}}

= \frac{- 3 + 15 x}{x ^{\frac{1}{2}}}

Popular Examples

inverse oflaplace ((2))/((s^2+40s+400))inverse laplace

\frac{( 2 )}{( s ^{2} + 40 s + 400 )}

integral of 9x+5sin(x)

\int 9 x + 5 sin (x) d x

integral of xsin(8x)

\int x sin (8 x) d x

sum from n=1 to infinity of 4(-1/7)^{4n}

n = 1 \sum \infty 4 (- \frac{1}{7})^{4 n}

integral of xsin(9-x)

\int x sin (9 - x) d x

Frequently Asked Questions (FAQ)

What is the derivative of 10x^{1.5}-6x^{0.5} ?
The derivative of 10x^{1.5}-6x^{0.5} is (-3+15x)/(x^{1/2)}
What is the first derivative of 10x^{1.5}-6x^{0.5} ?
The first derivative of 10x^{1.5}-6x^{0.5} is (-3+15x)/(x^{1/2)}