What is the derivative of y=(x+3)^2-(x-2)^2 ?

The derivative of y=(x+3)^2-(x-2)^2 is 10

What is the first derivative of y=(x+3)^2-(x-2)^2 ?

The first derivative of y=(x+3)^2-(x-2)^2 is 10

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derivative of

y = (x + 3)^{2} - (x - 2)^{2}

10

Solution steps

\frac{d}{d x} ((x + 3)^{2} - (x - 2)^{2})

Simplify

(x + 3)^{2} - (x - 2)^{2} : 10 x + 5

= \frac{d}{d x} (10 x + 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (10 x) + \frac{d}{d x} (5)

\frac{d}{d x} (10 x) = 10

\frac{d}{d x} (5) = 0

= 10 + 0

Simplify

= 10

What is the derivative of y=(x+3)^2-(x-2)^2 ?
The derivative of y=(x+3)^2-(x-2)^2 is 10
What is the first derivative of y=(x+3)^2-(x-2)^2 ?
The first derivative of y=(x+3)^2-(x-2)^2 is 10