What is the derivative of (x^2+15^2) ?

The derivative of (x^2+15^2) is 4x(x^2+15)

What is the first derivative of (x^2+15^2) ?

The first derivative of (x^2+15^2) is 4x(x^2+15)

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\frac{d}{d x} ((x^{2} + 15)^{2})

4 x (x^{2} + 15)

Solution steps

\frac{d}{d x} ((x^{2} + 15)^{2})

Apply the chain rule:

2 (x^{2} + 15) \frac{d}{d x} (x^{2} + 15)

= 2 (x^{2} + 15) \frac{d}{d x} (x^{2} + 15)

\frac{d}{d x} (x^{2} + 15) = 2 x

= 2 (x^{2} + 15) \cdot 2 x

Simplify

= 4 x (x^{2} + 15)

e^{2 t} cos (5 t)

y = 3 x

x^{2} + y + 4 = 0, y = - 8

\frac{d}{d x} (cos^{22} (x) + 1)

x \to - 2 lim (6 x - x^{2})

What is the derivative of (x^2+15^2) ?
The derivative of (x^2+15^2) is 4x(x^2+15)
What is the first derivative of (x^2+15^2) ?
The first derivative of (x^2+15^2) is 4x(x^2+15)