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}

\frac{\partial}{\partial x} (x^{4} y - 4 x^{5} y^{2})

\frac{e ^{x} + 9 x}{3 x}

\int \frac{4 y}{y + 1} d y

\int 2 sin (θ) d θ

f (x) = 2 x^{3} - 9 x^{2} - 24 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