What is the derivative of f(x)=7(x^3-x)^4 ?

The derivative of f(x)=7(x^3-x)^4 is 28(x^3-x)^3(3x^2-1)

What is the first derivative of f(x)=7(x^3-x)^4 ?

The first derivative of f(x)=7(x^3-x)^4 is 28(x^3-x)^3(3x^2-1)

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derivative of

f (x) = 7 (x^{3} - x)^{4}

28 (x^{3} - x)^{3} (3 x^{2} - 1)

Solution steps

\frac{d}{d x} (7 (x^{3} - x)^{4})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 7 \frac{d}{d x} ((x^{3} - x)^{4})

Apply the chain rule:

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

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

\frac{d}{d x} (x^{3} - x) = 3 x^{2} - 1

= 7 \cdot 4 (x^{3} - x)^{3} (3 x^{2} - 1)

Simplify

= 28 (x^{3} - x)^{3} (3 x^{2} - 1)

t^{2} e^{- 2 t} sin (3 t + 30)

f (x) = \frac{4}{x ^{2}}, at x = - 1

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

x \to 0 lim (lo g_{e} (x))

\frac{10 x + 6 x ^{2}}{( 5 + 6 x ) ^{2}}

What is the derivative of f(x)=7(x^3-x)^4 ?
The derivative of f(x)=7(x^3-x)^4 is 28(x^3-x)^3(3x^2-1)
What is the first derivative of f(x)=7(x^3-x)^4 ?
The first derivative of f(x)=7(x^3-x)^4 is 28(x^3-x)^3(3x^2-1)