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

The derivative of (3x+5^3) is 9(3x+5)^2

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

The first derivative of (3x+5^3) is 9(3x+5)^2

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

9 (3 x + 5)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 9 (3 x + 5)^{2}

\int \frac{( z ^{2} + 1 ) ^{2}}{z} d z

\frac{d}{d x} (7 x + 6)

\int csc (9 x) d x

\int \frac{3 x}{x + 4} d x

\frac{d}{d x} (4 x - 2)

What is the derivative of (3x+5^3) ?
The derivative of (3x+5^3) is 9(3x+5)^2
What is the first derivative of (3x+5^3) ?
The first derivative of (3x+5^3) is 9(3x+5)^2