What is the derivative of (2x^5-3^8) ?

The derivative of (2x^5-3^8) is 80x^4(2x^5-3)^7

What is the first derivative of (2x^5-3^8) ?

The first derivative of (2x^5-3^8) is 80x^4(2x^5-3)^7

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\frac{d}{d x} ((2 x^{5} - 3)^{8})

80 x^{4} (2 x^{5} - 3)^{7}

Solution steps

\frac{d}{d x} ((2 x^{5} - 3)^{8})

Apply the chain rule:

8 (2 x^{5} - 3)^{7} \frac{d}{d x} (2 x^{5} - 3)

= 8 (2 x^{5} - 3)^{7} \frac{d}{d x} (2 x^{5} - 3)

\frac{d}{d x} (2 x^{5} - 3) = 10 x^{4}

= 8 (2 x^{5} - 3)^{7} \cdot 10 x^{4}

Simplify

= 80 x^{4} (2 x^{5} - 3)^{7}

\frac{d}{d x} (4 e^{\frac{x}{2}})

tan^{2} (3 x) + 1

y^{^{''}} + 9 y = 3 t^{2}

π \cdot x^{\frac{1}{2}} - x^{\frac{1}{3}}

- 4 sin (x)

What is the derivative of (2x^5-3^8) ?
The derivative of (2x^5-3^8) is 80x^4(2x^5-3)^7
What is the first derivative of (2x^5-3^8) ?
The first derivative of (2x^5-3^8) is 80x^4(2x^5-3)^7