What is the derivative of (6x^2+8^6) ?

The derivative of (6x^2+8^6) is 72x(6x^2+8)^5

What is the first derivative of (6x^2+8^6) ?

The first derivative of (6x^2+8^6) is 72x(6x^2+8)^5

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\frac{d}{d x} ((6 x^{2} + 8)^{6})

72 x (6 x^{2} + 8)^{5}

Solution steps

\frac{d}{d x} ((6 x^{2} + 8)^{6})

Apply the chain rule:

6 (6 x^{2} + 8)^{5} \frac{d}{d x} (6 x^{2} + 8)

= 6 (6 x^{2} + 8)^{5} \frac{d}{d x} (6 x^{2} + 8)

\frac{d}{d x} (6 x^{2} + 8) = 12 x

= 6 (6 x^{2} + 8)^{5} \cdot 12 x

Simplify

= 72 x (6 x^{2} + 8)^{5}

\int_{0}^{3} - x^{2} + 3 x d x

\frac{\partial}{\partial x} (x^{2} y e^{y})

y^{^{''}} - y^{^{'}} + 484 y = 22 sin (22 t)

\int tan (x) cos (x) d x

\frac{d}{d x} ((8 - x)^{3})

What is the derivative of (6x^2+8^6) ?
The derivative of (6x^2+8^6) is 72x(6x^2+8)^5
What is the first derivative of (6x^2+8^6) ?
The first derivative of (6x^2+8^6) is 72x(6x^2+8)^5