What is the derivative of f(x)=(x-5xsqrt(x)) ?

The derivative of f(x)=(x-5xsqrt(x)) is 1-(15sqrt(x))/2

What is the first derivative of f(x)=(x-5xsqrt(x)) ?

The first derivative of f(x)=(x-5xsqrt(x)) is 1-(15sqrt(x))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = (x - 5 x x)

1 - \frac{15 x}{2}

Solution steps

\frac{d}{d x} ((x - 5 x x))

Simplify

(x - 5 x x) : x - 5 x^{\frac{3}{2}}

= \frac{d}{d x} (x - 5 x^{\frac{3}{2}})

Apply the Sum/Difference Rule:

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

= \frac{d x}{d x} - \frac{d}{d x} (5 x^{\frac{3}{2}})

\frac{d x}{d x} = 1

\frac{d}{d x} (5 x^{\frac{3}{2}}) = \frac{15 x}{2}

= 1 - \frac{15 x}{2}

y^{^{'}} = 2 x + y, y (0) = 6

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

(x + 2 y) y^{^{'}} = 5 x - y

\int \frac{sin ( t )}{t} d t

\frac{d}{d x} (\frac{4}{1 + 4 x})

What is the derivative of f(x)=(x-5xsqrt(x)) ?
The derivative of f(x)=(x-5xsqrt(x)) is 1-(15sqrt(x))/2
What is the first derivative of f(x)=(x-5xsqrt(x)) ?
The first derivative of f(x)=(x-5xsqrt(x)) is 1-(15sqrt(x))/2