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Popular >

derivative of 6x^2y-3xy^2

Solution

\frac{d}{d x} (6 x^{2} y - 3 x y^{2})

Solution

6 (2 x y + \frac{d y}{d x} x^{2}) - 3 (y^{2} + 2 x y \frac{d y}{d x})

Solution steps

\frac{d}{d x} (6 x^{2} y - 3 x y^{2})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{2} y) - \frac{d}{d x} (3 x y^{2})

\frac{d}{d x} (6 x^{2} y) = 6 (2 x y + \frac{d y}{d x} x^{2})

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

= 6 (2 x y + \frac{d y}{d x} x^{2}) - 3 (y^{2} + 2 x y \frac{d y}{d x})

Popular Examples

integral of (5x^3)

\int (5 x^{3}) d x

tangent of f(x)=-6/((3x+5)^2),\at x=-1 tangent of

f (x) = - \frac{6}{( 3 x + 5 ) ^{2}}, at x = - 1

tangent of f(x)=x^2-1 tangent of

f (x) = x^{2} - 1

integral of (x^3)/(x^4-2)

\int \frac{x ^{3}}{x ^{4} - 2} d x

derivative of g(w)=12\sqrt[3]{w}derivative of

Frequently Asked Questions (FAQ)

What is the derivative of 6x^2y-3xy^2 ?
The derivative of 6x^2y-3xy^2 is 6(2xy+(dy)/(dx)x^2)-3(y^2+2xy(dy)/(dx))
What is the first derivative of 6x^2y-3xy^2 ?
The first derivative of 6x^2y-3xy^2 is 6(2xy+(dy)/(dx)x^2)-3(y^2+2xy(dy)/(dx))