What is the solution for -derivative of y=8x ?

The solution for -derivative of y=8x is y=-4x^2+c_{1}

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Find the Derivative - d/dx y=8x

- \frac{d}{d x} y = 8 x

y = - 4 x^{2} + c_{1}

Solution steps

- \frac{d y}{d x} = 8 x

Isolate

y^{'} (x) : y^{'} (x) = - 8 x

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

then

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

y = \int - 8 x d x

\int - 8 x d x = - 4 x^{2} + c_{1}

y = - 4 x^{2} + c_{1}

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What is the solution for -derivative of y=8x ?
The solution for -derivative of y=8x is y=-4x^2+c_{1}