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

The derivative of y=(x^4+1)^5 is 20x^3(x^4+1)^4

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

The first derivative of y=(x^4+1)^5 is 20x^3(x^4+1)^4

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derivative of

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

20 x^{3} (x^{4} + 1)^{4}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 20 x^{3} (x^{4} + 1)^{4}

\frac{d x}{d t} = 6 (x^{2} + 1), x (\frac{π}{4}) = 1

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x ^{2} - 4})

\frac{d}{d x} (4 ln ((\frac{x}{4})^{2} - 1))

x \to 0 + lim (2 + x^{9} ln (x))

\frac{\partial}{\partial y} (x y e^{yz})

What is the derivative of y=(x^4+1)^5 ?
The derivative of y=(x^4+1)^5 is 20x^3(x^4+1)^4
What is the first derivative of y=(x^4+1)^5 ?
The first derivative of y=(x^4+1)^5 is 20x^3(x^4+1)^4