What is the derivative of (x^6-2^3) ?

The derivative of (x^6-2^3) is 18x^5(x^6-2)^2

What is the first derivative of (x^6-2^3) ?

The first derivative of (x^6-2^3) is 18x^5(x^6-2)^2

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\frac{d}{d x} ((x^{6} - 2)^{3})

18 x^{5} (x^{6} - 2)^{2}

Solution steps

\frac{d}{d x} ((x^{6} - 2)^{3})

Apply the chain rule:

3 (x^{6} - 2)^{2} \frac{d}{d x} (x^{6} - 2)

= 3 (x^{6} - 2)^{2} \frac{d}{d x} (x^{6} - 2)

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

= 3 (x^{6} - 2)^{2} \cdot 6 x^{5}

Simplify

= 18 x^{5} (x^{6} - 2)^{2}

2 y^{^{''}} - 6 y^{^{'}} + 4 y = 6 e^{2 t}

\int e^{2 x} (3 + e^{2 x})^{5} d x

\int_{- 1}^{2} \frac{5 x}{x ^{2} - x - 6} d x

y^{^{''}} + 3 y^{^{'}} + 2 y = 4

\int csc^{3} (x) cot^{2} (x) d x

What is the derivative of (x^6-2^3) ?
The derivative of (x^6-2^3) is 18x^5(x^6-2)^2
What is the first derivative of (x^6-2^3) ?
The first derivative of (x^6-2^3) is 18x^5(x^6-2)^2