What is the solution for -derivative of y=5x ?

The solution for -derivative of y=5x is y=-(5x^2)/2+c_{1}

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Find the Derivative - d/dx y=5x

- \frac{d}{d x} y = 5 x

y = - \frac{5 x ^{2}}{2} + c_{1}

Solution steps

- \frac{d y}{d x} = 5 x

Isolate

y^{'} (x) : y^{'} (x) = - 5 x

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

then

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

y = \int - 5 x d x

\int - 5 x d x = - \frac{5 x ^{2}}{2} + c_{1}

y = - \frac{5 x ^{2}}{2} + c_{1}

(- 4, 2), (4, - 4)

- \frac{d}{d x} (sin (x^{2}))

\int (e^{x y}) d x

- \frac{d}{d x} (sec^{2} (x))

- \frac{d}{d x} y = 2 e^{x}

What is the solution for -derivative of y=5x ?
The solution for -derivative of y=5x is y=-(5x^2)/2+c_{1}