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

The derivative of (5-(4-3x^2)^3) is 3(-9x^2+24x-11)^2(-18x+24)

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

The first derivative of (5-(4-3x^2)^3) is 3(-9x^2+24x-11)^2(-18x+24)

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\frac{d}{d x} ((5 - (4 - 3 x)^{2})^{3})

3 (- 9 x^{2} + 24 x - 11)^{2} (- 18 x + 24)

Solution steps

\frac{d}{d x} ((5 - (4 - 3 x)^{2})^{3})

Simplify

(5 - (4 - 3 x)^{2})^{3} : (- 9 x^{2} + 24 x - 11)^{3}

= \frac{d}{d x} ((- 9 x^{2} + 24 x - 11)^{3})

Apply the chain rule:

3 (- 9 x^{2} + 24 x - 11)^{2} \frac{d}{d x} (- 9 x^{2} + 24 x - 11)

= 3 (- 9 x^{2} + 24 x - 11)^{2} \frac{d}{d x} (- 9 x^{2} + 24 x - 11)

\frac{d}{d x} (- 9 x^{2} + 24 x - 11) = - 18 x + 24

= 3 (- 9 x^{2} + 24 x - 11)^{2} (- 18 x + 24)

\frac{d y}{d x} = a^{x + y}

\int x^{4} tan^{3} (x^{5}) d x

\int sinh (5 x) d x

\int_{0}^{1} 8 cos (3 x) d x

f (x) = 4 cos^{2} (x)

What is the derivative of (5-(4-3x^2)^3) ?
The derivative of (5-(4-3x^2)^3) is 3(-9x^2+24x-11)^2(-18x+24)
What is the first derivative of (5-(4-3x^2)^3) ?
The first derivative of (5-(4-3x^2)^3) is 3(-9x^2+24x-11)^2(-18x+24)