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Popular >

derivative of x^2+xy+y^2(-1,1)

Solution

\frac{d}{d x} (x^{2} + x y + y^{2} (- 1.1))

Solution

2 x + y + x \frac{d y}{d x} - 2.2 y \frac{d y}{d x}

Solution steps

\frac{d}{d x} (x^{2} + x y + y^{2} (- 1.1))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{2}) + \frac{d}{d x} (x y) + \frac{d}{d x} (y^{2} (- 1.1))

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

\frac{d}{d x} (x y) = y + x \frac{d y}{d x}

\frac{d}{d x} (y^{2} (- 1.1)) = - 2.2 y \frac{d y}{d x}

= 2 x + y + x \frac{d y}{d x} - 2.2 y \frac{d y}{d x}

Popular Examples

extreme f(x)=x^8(x-3)^7 extreme points

f (x) = x^{8} (x - 3)^{7}

extreme f(x)= 1/(x+1)extreme points

f (x) = \frac{1}{x + 1}

extreme f(x)=x^5-2x^3+2 extreme points

f (x) = x^{5} - 2 x^{3} + 2

extreme f(x)=x(15-40+2x)(40/2-x)extreme points

f (x) = x (15 - 40 + 2 x) (\frac{40}{2} - x)

extreme f(x)=(3x^2+3)^2 extreme points

f (x) = (3 x^{2} + 3)^{2}

Frequently Asked Questions (FAQ)

What is the derivative of x^2+xy+y^2(-1,1) ?
The derivative of x^2+xy+y^2(-1,1) is 2x+y+x(dy)/(dx)-2.2y(dy)/(dx)
What is the first derivative of x^2+xy+y^2(-1,1) ?
The first derivative of x^2+xy+y^2(-1,1) is 2x+y+x(dy)/(dx)-2.2y(dy)/(dx)