What is the derivative of (x^4-2^5) ?

The derivative of (x^4-2^5) is 20x^3(x^4-2)^4

What is the first derivative of (x^4-2^5) ?

The first derivative of (x^4-2^5) is 20x^3(x^4-2)^4

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

20 x^{3} (x^{4} - 2)^{4}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (x^{4} - 2) = 4 x^{3}

= 5 (x^{4} - 2)^{4} \cdot 4 x^{3}

Simplify

= 20 x^{3} (x^{4} - 2)^{4}

8 x^{\frac{3}{2}}

x \to - 2 lim (2 x + 1)

(1, - 1), (6, - 1 \frac{1}{2})

\frac{\partial}{\partial x} (e^{- t} cos (π x))

\int tan (2 x) sec^{2} (2 x) d x

What is the derivative of (x^4-2^5) ?
The derivative of (x^4-2^5) is 20x^3(x^4-2)^4
What is the first derivative of (x^4-2^5) ?
The first derivative of (x^4-2^5) is 20x^3(x^4-2)^4