What is the derivative of (3x^6-2x^4^4) ?

The derivative of (3x^6-2x^4^4) is 4(3x^6-2x^4)^3(18x^5-8x^3)

What is the first derivative of (3x^6-2x^4^4) ?

The first derivative of (3x^6-2x^4^4) is 4(3x^6-2x^4)^3(18x^5-8x^3)

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

4 (3 x^{6} - 2 x^{4})^{3} (18 x^{5} - 8 x^{3})

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{6} - 2 x^{4}) = 18 x^{5} - 8 x^{3}

= 4 (3 x^{6} - 2 x^{4})^{3} (18 x^{5} - 8 x^{3})

What is the derivative of (3x^6-2x^4^4) ?
The derivative of (3x^6-2x^4^4) is 4(3x^6-2x^4)^3(18x^5-8x^3)
What is the first derivative of (3x^6-2x^4^4) ?
The first derivative of (3x^6-2x^4^4) is 4(3x^6-2x^4)^3(18x^5-8x^3)