Find the derivative for y=5x^3-2x^2+7x-15

To find the derivative, you look at each term and multiply the constant in front of the x by the power of x. Also you must lower the power of x by one after this step. 

So 5x³ would be differentiated to 15x². Repeat this for the other terms and you get -4x and +7 (since x¹ differentiates to x⁰ which equals 1). Since -15 is not a term of x it differentiates to 0. 

So this equations differentiates to 15x²-4x+7