What is the derivative of y=(x^5+1)^6 ?

The derivative of y=(x^5+1)^6 is 30x^4(x^5+1)^5

What is the first derivative of y=(x^5+1)^6 ?

The first derivative of y=(x^5+1)^6 is 30x^4(x^5+1)^5

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derivative of

y = (x^{5} + 1)^{6}

30 x^{4} (x^{5} + 1)^{5}

Solution steps

\frac{d}{d x} ((x^{5} + 1)^{6})

Apply the chain rule:

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

= 6 (x^{5} + 1)^{5} \frac{d}{d x} (x^{5} + 1)

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

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

Simplify

= 30 x^{4} (x^{5} + 1)^{5}

y = 4 x^{2} + 2

\int t^{4} + 2 t^{2} + 1 d t

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

1 2^{9 x}

x \to 2 lim (\frac{x - 2}{∣ x - 2 ∣})

What is the derivative of y=(x^5+1)^6 ?
The derivative of y=(x^5+1)^6 is 30x^4(x^5+1)^5
What is the first derivative of y=(x^5+1)^6 ?
The first derivative of y=(x^5+1)^6 is 30x^4(x^5+1)^5