What is the derivative of-(x-5^2) ?

The derivative of-(x-5^2) is -2x+10

What is the first derivative of-(x-5^2) ?

The first derivative of-(x-5^2) is -2x+10

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\frac{d}{d x} (- (x - 5)^{2})

- 2 x + 10

Solution steps

\frac{d}{d x} (- (x - 5)^{2})

Simplify

- (x - 5)^{2} : - x^{2} + 10 x - 25

= \frac{d}{d x} (- x^{2} + 10 x - 25)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (x^{2}) + \frac{d}{d x} (10 x) - \frac{d}{d x} (25)

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

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

\frac{d}{d x} (25) = 0

= - 2 x + 10 - 0

Simplify

= - 2 x + 10

y^{^{'}} + \frac{3}{t} y = 0

x \to 3 lim (x^{5})

\int - (2 x + 1) sin (3 x^{2} + 3 x) d x

\int_{1}^{e} ln (x) d x

n = 1 \sum \infty \frac{1}{n ^{n}}

What is the derivative of-(x-5^2) ?
The derivative of-(x-5^2) is -2x+10
What is the first derivative of-(x-5^2) ?
The first derivative of-(x-5^2) is -2x+10