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

The derivative of (x^2-5^2) is 4x(x^2-5)

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

The first derivative of (x^2-5^2) is 4x(x^2-5)

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

4 x (x^{2} - 5)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 (x^{2} - 5) \cdot 2 x

Simplify

= 4 x (x^{2} - 5)

16 x

\int \frac{12 ln ( x )}{x} d x

y = \frac{9}{x}, y = 3 x, y = \frac{1}{3} x

\frac{d}{d x} (e^{- x} (cos (2 x) + sin (2 x)))

e^{- 2 t} cos (3 t) + 5 e^{- 2 t} sin (3 t)

What is the derivative of (x^2-5^2) ?
The derivative of (x^2-5^2) is 4x(x^2-5)
What is the first derivative of (x^2-5^2) ?
The first derivative of (x^2-5^2) is 4x(x^2-5)