What is the derivative of f(x)=(3x+1)^5 ?

The derivative of f(x)=(3x+1)^5 is 15(3x+1)^4

What is the first derivative of f(x)=(3x+1)^5 ?

The first derivative of f(x)=(3x+1)^5 is 15(3x+1)^4

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derivative of

f (x) = (3 x + 1)^{5}

15 (3 x + 1)^{4}

Solution steps

\frac{d}{d x} ((3 x + 1)^{5})

Apply the chain rule:

5 (3 x + 1)^{4} \frac{d}{d x} (3 x + 1)

= 5 (3 x + 1)^{4} \frac{d}{d x} (3 x + 1)

\frac{d}{d x} (3 x + 1) = 3

= 5 (3 x + 1)^{4} \cdot 3

Simplify

= 15 (3 x + 1)^{4}

\int \frac{2 x ^{4} + 8 x ^{3} - x}{x ^{3}} d x

n = 2 \sum \infty ln (\frac{n}{n + 1})

f (x) = e^{x} + x^{e}

\frac{d}{d x} ((x + 1) (x - 2))

What is the derivative of f(x)=(3x+1)^5 ?
The derivative of f(x)=(3x+1)^5 is 15(3x+1)^4
What is the first derivative of f(x)=(3x+1)^5 ?
The first derivative of f(x)=(3x+1)^5 is 15(3x+1)^4