What is the derivative of y=(4x-5)2 ?

The derivative of y=(4x-5)2 is 8

What is the first derivative of y=(4x-5)2 ?

The first derivative of y=(4x-5)2 is 8

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derivative of

y = (4 x - 5) 2

8

Solution steps

\frac{d}{d x} ((4 x - 5) \cdot 2)

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (4 x - 5)

Apply the Sum/Difference Rule:

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

= 2 (\frac{d}{d x} (4 x) - \frac{d}{d x} (5))

\frac{d}{d x} (4 x) = 4

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

= 2 (4 - 0)

Simplify

= 8

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What is the derivative of y=(4x-5)2 ?
The derivative of y=(4x-5)2 is 8
What is the first derivative of y=(4x-5)2 ?
The first derivative of y=(4x-5)2 is 8