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

The derivative of x^2-e^{y^2} is 2x

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

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

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derivative of

x^{2} - e^{y^{2}}

2 x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (e^{y^{2}}) = 0

= 2 x - 0

Simplify

= 2 x

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