en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of (x-y^3^2-x^3)

Solution

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

Solution

2 (x - y^{3}) (1 - 3 y^{2} \frac{d y}{d x}) - 3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} ((x - y^{3})^{2}) = 2 (x - y^{3}) (1 - 3 y^{2} \frac{d y}{d x})

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

= 2 (x - y^{3}) (1 - 3 y^{2} \frac{d y}{d x}) - 3 x^{2}

Popular Examples

expand (y=x^2+2x)(x+2)expand

(y = x^{2} + 2 x) (x + 2)

expand (x^2+5x-1)/((x^2+3)^2)expand

\frac{x ^{2} + 5 x - 1}{( x ^{2} + 3 ) ^{2}}

expand (x^2y^2+1)dx+(2x^2)dy expand

(x^{2} y^{2} + 1) d x + (2 x^{2}) d y

((-3s^2-16s+12))/((s^2+4)(s+1)(s-4))

\frac{( - 3 s ^{2} - 16 s + 12 )}{( s ^{2} + 4 ) ( s + 1 ) ( s - 4 )}

expand P(s)ascal's expand

P (s) a sc a l^{'} s

Frequently Asked Questions (FAQ)

What is the derivative of (x-y^3^2-x^3) ?
The derivative of (x-y^3^2-x^3) is 2(x-y^3)(1-3y^2(dy)/(dx))-3x^2
What is the first derivative of (x-y^3^2-x^3) ?
The first derivative of (x-y^3^2-x^3) is 2(x-y^3)(1-3y^2(dy)/(dx))-3x^2