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

The derivative of (5x+8^3) is 15(5x+8)^2

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

The first derivative of (5x+8^3) is 15(5x+8)^2

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

15 (5 x + 8)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

= 3 (5 x + 8)^{2} \cdot 5

Simplify

= 15 (5 x + 8)^{2}

\frac{d}{d x} ((\frac{x - 7}{x + 2})^{2})

x^{\frac{1}{3}}, 1000

y = (x^{x} + 1)^{2}

\int 3 x^{2} (x^{3} + 5)^{7} d x

\int \frac{x - 5}{( x + 4 ) ( x + 3 ) ^{2}} d x

What is the derivative of (5x+8^3) ?
The derivative of (5x+8^3) is 15(5x+8)^2
What is the first derivative of (5x+8^3) ?
The first derivative of (5x+8^3) is 15(5x+8)^2