Question

Find $\frac{d^{2}y}{dx^{2}}$, if y is equal to x³+5x²-3x+10

Answer 1

Answer:

$\frac{d^{2}y }{dx^{2} } = 6x +10$

Step-by-step explanation:

Since we have  

$Y = x^{3} + 5x^{2} -3x +10$..................................(1)

differentiate equation (1) both sides with respect to x we get

using power rule $\frac{dx^{n}}{dx}=nx^{n-1}$ , also , we know that the derivative of constant number is zero , here derivative of 10 is zero.

$\frac{dy}{dx} = 3x^{2} + 10x - 3$................................(2`)

again differentiate equation (2) both sides with respect to x,we get

$\frac{d^{2}y }{dx^{2} } = 6x +10$