Respuesta :
We need to find the derivative of that equation with respect to x. The derivative of x^3 is 3x^2, the derivative of 3x^2 is 6x, and the derivative of any constant is always 0. Use the power rule for derivatives that says [tex] \frac{dy}{dx}( x^{n})=n*x ^{n-1} [/tex]. Our derivative, then, is [tex]3x^2+6x[/tex].
Please, use " ^ " to denote exponentiation: y = x^3 + 3x^2 + 5
Then the derivative of y with respect to x is dy/dx = 3x^2 + 6x (answer)
You could also write this result as dy/dx = 3x(x+6).
Then the derivative of y with respect to x is dy/dx = 3x^2 + 6x (answer)
You could also write this result as dy/dx = 3x(x+6).