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

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

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

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

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derivative of

f (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}

f (x) = \frac{5}{x + 2}

y = 4 x^{2}, y = x^{2} + 1

y^{^{'}} + 2 x y = x y^{2}

\frac{\partial}{\partial x} (3 e^{x} sin (y))

f (x) = x - 2, at x = 9

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