What is the derivative of e^{x^2}-x ?

The derivative of e^{x^2}-x is e^{x^2}*2x-1

What is the first derivative of e^{x^2}-x ?

The first derivative of e^{x^2}-x is e^{x^2}*2x-1

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

e^{x^{2}} \cdot 2 x - 1

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (e^{x^{2}}) - \frac{d x}{d x}

\frac{d}{d x} (e^{x^{2}}) = e^{x^{2}} \cdot 2 x

\frac{d x}{d x} = 1

= e^{x^{2}} \cdot 2 x - 1

y^{^{'}} = \frac{( x ^{2} + y ^{2} )}{x y}

\frac{d}{d x} (14 x e^{- x})

x^{2} f (x^{2} + 2 x)

\frac{\partial}{\partial y} (3 x cos (y))

\int \frac{21}{x ( x ^{2} + 4 ) ^{2}} d x

What is the derivative of e^{x^2}-x ?
The derivative of e^{x^2}-x is e^{x^2}*2x-1
What is the first derivative of e^{x^2}-x ?
The first derivative of e^{x^2}-x is e^{x^2}*2x-1