What is the derivative of 150-1/40 (x-50^2) ?

The derivative of 150-1/40 (x-50^2) is -1/20 (x-50)

What is the first derivative of 150-1/40 (x-50^2) ?

The first derivative of 150-1/40 (x-50^2) is -1/20 (x-50)

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\frac{d}{d x} (150 - \frac{1}{40} (x - 50)^{2})

- \frac{1}{20} (x - 50)

Solution steps

\frac{d}{d x} (150 - \frac{1}{40} (x - 50)^{2})

Simplify

150 - \frac{1}{40} (x - 50)^{2} : 150 - \frac{( x - 50 ) ^{2}}{40}

= \frac{d}{d x} (150 - \frac{( x - 50 ) ^{2}}{40})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (150) - \frac{d}{d x} (\frac{( x - 50 ) ^{2}}{40})

\frac{d}{d x} (150) = 0

\frac{d}{d x} (\frac{( x - 50 ) ^{2}}{40}) = \frac{1}{20} (x - 50)

= 0 - \frac{1}{20} (x - 50)

Simplify

= - \frac{1}{20} (x - 50)

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What is the derivative of 150-1/40 (x-50^2) ?
The derivative of 150-1/40 (x-50^2) is -1/20 (x-50)
What is the first derivative of 150-1/40 (x-50^2) ?
The first derivative of 150-1/40 (x-50^2) is -1/20 (x-50)