What is the derivative of (6x^4-9x^2+8)^4 ?

The derivative of (6x^4-9x^2+8)^4 is 4(6x^4-9x^2+8)^3(24x^3-18x)

What is the first derivative of (6x^4-9x^2+8)^4 ?

The first derivative of (6x^4-9x^2+8)^4 is 4(6x^4-9x^2+8)^3(24x^3-18x)

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derivative of

(6 x^{4} - 9 x^{2} + 8)^{4}

4 (6 x^{4} - 9 x^{2} + 8)^{3} (24 x^{3} - 18 x)

Solution steps

\frac{d}{d x} ((6 x^{4} - 9 x^{2} + 8)^{4})

Apply the chain rule:

4 (6 x^{4} - 9 x^{2} + 8)^{3} \frac{d}{d x} (6 x^{4} - 9 x^{2} + 8)

= 4 (6 x^{4} - 9 x^{2} + 8)^{3} \frac{d}{d x} (6 x^{4} - 9 x^{2} + 8)

\frac{d}{d x} (6 x^{4} - 9 x^{2} + 8) = 24 x^{3} - 18 x

= 4 (6 x^{4} - 9 x^{2} + 8)^{3} (24 x^{3} - 18 x)

x \to - 1 - lim (x^{2} + 1)

ln (e^{2 x})

y = (x + 3)^{2}, (0, 1)

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

\int (\frac{1 + x + x ^{2}}{x}) d x

What is the derivative of (6x^4-9x^2+8)^4 ?
The derivative of (6x^4-9x^2+8)^4 is 4(6x^4-9x^2+8)^3(24x^3-18x)
What is the first derivative of (6x^4-9x^2+8)^4 ?
The first derivative of (6x^4-9x^2+8)^4 is 4(6x^4-9x^2+8)^3(24x^3-18x)