What is the derivative of 2(4-9x^4) ?

The derivative of 2(4-9x^4) is -72(4-9x)^3

What is the first derivative of 2(4-9x^4) ?

The first derivative of 2(4-9x^4) is -72(4-9x)^3

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\frac{d}{d x} (2 (4 - 9 x)^{4})

- 72 (4 - 9 x)^{3}

Solution steps

\frac{d}{d x} (2 (4 - 9 x)^{4})

Take the constant out:

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

= 2 \frac{d}{d x} ((4 - 9 x)^{4})

Apply the chain rule:

4 (4 - 9 x)^{3} \frac{d}{d x} (4 - 9 x)

= 4 (4 - 9 x)^{3} \frac{d}{d x} (4 - 9 x)

\frac{d}{d x} (4 - 9 x) = - 9

= 2 \cdot 4 (4 - 9 x)^{3} (- 9)

Simplify

= - 72 (4 - 9 x)^{3}

(x y + y + y^{2}) d x + (x + 2 y) d y = 0

f (x) = x - 5, at x = 6

x = 7 y^{3}, x = 18 y^{2}

\int g e^{- c x} d x

f (x) = ln (x^{2} - 2 x + 1), at x = 2

What is the derivative of 2(4-9x^4) ?
The derivative of 2(4-9x^4) is -72(4-9x)^3
What is the first derivative of 2(4-9x^4) ?
The first derivative of 2(4-9x^4) is -72(4-9x)^3