y=(4x^3)/(2x^2)-5 Find the derivative of y (8x^4-60x^2)/(2x^2-5)^2 16x^4 3× 8x^4-60x^2

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Answer 1

To find the derivative of the function

, we will use the quotient rule. The quotient rule states that if you have a function \( y = \frac{u(x)}{v(x)} \), then its derivative is given by:

Here, \( u(x) = 4x^3 \) and \( v(x) = 2x^2 - 5 \).First, we find the derivatives of \( u(x) \) and \( v(x) \):

Now, apply the quotient rule:

Simplify the numerator:

So, the derivative of

is:

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