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

The derivative of (4x^2-5^3) is 24x(4x^2-5)^2

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

The first derivative of (4x^2-5^3) is 24x(4x^2-5)^2

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

24 x (4 x^{2} - 5)^{2}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{2} - 5) = 8 x

= 3 (4 x^{2} - 5)^{2} \cdot 8 x

Simplify

= 24 x (4 x^{2} - 5)^{2}

x y^{^{'}} - 2 y - 8 = 0

f (x) = 3 x (18 x^{4} + \frac{13}{x + 1})

\frac{d}{d x} (\frac{6 x ^{2} + 6 x + 6}{x})

ln (2 x), \frac{1}{2}, \frac{e ^{2}}{2}

3^{2 x}

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