What is the derivative of (2x+1^5) ?

The derivative of (2x+1^5) is 10(2x+1)^4

What is the first derivative of (2x+1^5) ?

The first derivative of (2x+1^5) is 10(2x+1)^4

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\frac{d}{d x} ((2 x + 1)^{5})

10 (2 x + 1)^{4}

Solution steps

\frac{d}{d x} ((2 x + 1)^{5})

Apply the chain rule:

5 (2 x + 1)^{4} \frac{d}{d x} (2 x + 1)

= 5 (2 x + 1)^{4} \frac{d}{d x} (2 x + 1)

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

= 5 (2 x + 1)^{4} \cdot 2

Simplify

= 10 (2 x + 1)^{4}

\int_{1}^{t} 35 x^{- 3} d x

\int \frac{x ^{3}}{3 ( x ^{2} + 1 )} d x

e^{t a n (x)}

f (x) = \frac{x}{x ^{2} + 64}

2 (1 - e^{- t})

What is the derivative of (2x+1^5) ?
The derivative of (2x+1^5) is 10(2x+1)^4
What is the first derivative of (2x+1^5) ?
The first derivative of (2x+1^5) is 10(2x+1)^4