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Popular Calculus >

(dy)/(dx)=2x

Solution

\frac{d y}{d x} = 2 x

Solution

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

Solution steps

\frac{d y}{d x} = 2 x

Substitute

\frac{d y}{d x}

with

y^{'} (x)

y^{^{'}} (x) = 2 x

If

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

then

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

y = \int 2 x d x

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

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

Graph

Popular Examples

derivative of \sqrt[3]{x+3}

\frac{d}{d x} (3 x + 3)

(\partial)/(\partial x)(2e^{4xy})

\frac{\partial}{\partial x} (2 e^{4 x y})

(\partial)/(\partial x)(ln((x^2+y^2)^2))

\frac{\partial}{\partial x} (ln ((x^{2} + y^{2})^{2}))

derivative of (30)/((1-x)^4)

d er i v a t i v e \frac{30}{( 1 - x ) ^{4}}

tangent of f(x)=x^2-x,\at x=-2

t an g e n t f (x) = x^{2} - x, at x = - 2

Frequently Asked Questions (FAQ)

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