What is the derivative of (x+6)^5 ?

The derivative of (x+6)^5 is 5(x+6)^4

What is the first derivative of (x+6)^5 ?

The first derivative of (x+6)^5 is 5(x+6)^4

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derivative of

(x + 6)^{5}

5 (x + 6)^{4}

Solution steps

\frac{d}{d x} ((x + 6)^{5})

Apply the chain rule:

5 (x + 6)^{4} \frac{d}{d x} (x + 6)

= 5 (x + 6)^{4} \frac{d}{d x} (x + 6)

\frac{d}{d x} (x + 6) = 1

= 5 (x + 6)^{4} \cdot 1

Simplify

= 5 (x + 6)^{4}

y = \frac{t ^{3}}{3}

6 x^{2} + 3 x^{\frac{3}{4}}

\frac{d}{d n} (i^{2 n + 3})

\frac{d}{d c} (1.8 c + 32)

\frac{x + 2}{x}

What is the derivative of (x+6)^5 ?
The derivative of (x+6)^5 is 5(x+6)^4
What is the first derivative of (x+6)^5 ?
The first derivative of (x+6)^5 is 5(x+6)^4