What is the derivative of f(x)=(x^2-10)^4 ?

The derivative of f(x)=(x^2-10)^4 is 8x(x^2-10)^3

What is the first derivative of f(x)=(x^2-10)^4 ?

The first derivative of f(x)=(x^2-10)^4 is 8x(x^2-10)^3

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derivative of

f (x) = (x^{2} - 10)^{4}

8 x (x^{2} - 10)^{3}

Solution steps

\frac{d}{d x} ((x^{2} - 10)^{4})

Apply the chain rule:

4 (x^{2} - 10)^{3} \frac{d}{d x} (x^{2} - 10)

= 4 (x^{2} - 10)^{3} \frac{d}{d x} (x^{2} - 10)

\frac{d}{d x} (x^{2} - 10) = 2 x

= 4 (x^{2} - 10)^{3} \cdot 2 x

Simplify

= 8 x (x^{2} - 10)^{3}

\int_{0}^{π} (1 - cos^{2} (x)) d x

h \to 0 lim (h^{4})

(x, y) \to (3, - 3) lim ((e^{- x y}) cos (x + y))

3 x + 8, x^{2} + 2 x + 2, 0, 2

y (θ) = θ sin (θ)

What is the derivative of f(x)=(x^2-10)^4 ?
The derivative of f(x)=(x^2-10)^4 is 8x(x^2-10)^3
What is the first derivative of f(x)=(x^2-10)^4 ?
The first derivative of f(x)=(x^2-10)^4 is 8x(x^2-10)^3