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Popular >

derivative of y=(3x^6-2x^4)^4

Solution

derivative of

y = (3 x^{6} - 2 x^{4})^{4}

Solution

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})

Popular Examples

(\partial)/(\partial y)(e^{xyz^9}yz^9)

\frac{\partial}{\partial y} (e^{x y z^{9}} y z^{9})

integral of 2e^4

\int 2 e^{4} d x

25(d^2y)/(dx^2)-10(dy)/(dx)+y=0

25 \frac{d ^{2} y}{d x ^{2}} - 10 \frac{d y}{d x} + y = 0

sum from n=0 to infinity of n/(3n+1)

n = 0 \sum \infty \frac{n}{3 n + 1}

limit as x approaches 5-of ln(5-x)

x \to 5 - lim (ln (5 - x))

Frequently Asked Questions (FAQ)

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