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Popular Calculus >

6x+(dy)/(dx)=0

Solution

6 x + \frac{d y}{d x} = 0

Solution

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

Solution steps

6 x + \frac{d y}{d x} = 0

Substitute

\frac{d y}{d x}

with

y^{'} (x)

6 x + y^{^{'}} (x) = 0

Isolate

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

If

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

then

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

y = \int - 6 x d x

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

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

Graph

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Frequently Asked Questions (FAQ)

What is the solution for 6x+(dy)/(dx)=0 ?
The solution for 6x+(dy)/(dx)=0 is y=-3x^2+c_{1}