The equation of the curve is y = 15x^3/2 - x^5/2. Find dy/dx.
You need to differentiate the function with respect to x such that:
`(dy)/(dx) = 15*3x^2/2 - 5x^4/2`
`(dy)/(dx) = 45x^2/2 - 5x^4/2`
Notice that you need to use power property to differentiate the function such that:
`y= x^n =gt(dy)/(dx) = (x^n)' `
Hence, differentiating the function yields `(dy)/(dx) = (45x^2 - 5x^4)/2.`