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Popular Calculus >

(dy)/(dx)=9x^2-12x

Solution

\frac{d y}{d x} = 9 x^{2} - 12 x

Solution

y = 3 x^{3} - 6 x^{2} + c_{1}

Solution steps

\frac{d y}{d x} = 9 x^{2} - 12 x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 9 x^{2} - 12 x

If

f^{^{'}} (x) = g (x)

then

f (x) = \int g (x) d x

y = \int 9 x^{2} - 12 x d x

\int 9 x^{2} - 12 x d x = 3 x^{3} - 6 x^{2} + c_{1}

y = 3 x^{3} - 6 x^{2} + c_{1}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=9x^2-12x ?
The solution for (dy)/(dx)=9x^2-12x is y=3x^3-6x^2+c_{1}