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Popular Calculus >

(dy)/(dx)=4x-6

Solution

\frac{d y}{d x} = 4 x - 6

Solution

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

Solution steps

\frac{d y}{d x} = 4 x - 6

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 4 x - 6

If

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

then

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

y = \int 4 x - 6 d x

\int 4 x - 6 d x = 2 x^{2} - 6 x + c_{1}

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

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=4x-6 ?
The solution for (dy)/(dx)=4x-6 is y=2x^2-6x+c_{1}