Differentiate y=x^2+5x+3?

2 Answers
Apr 27, 2018

2x+5

Explanation:

Given: y=x^2+5x+3.

Differentiate using the power rule, d/dx(a^x)=xa^(x-1),x!=-1 and the constant rule, d/dx(a)=0,ainRR.

We get:

y'=2x+5+0

=2x+5

Apr 27, 2018

d/dx (x^2+5x+3)= 2x+5

Explanation:

Derivative of any polynomial x^a = a*x^(a-1).

Using this formula with the sum rule gives us-

Derivative of x^2+5x+3 = d/dx(x^2)+d/dx5x +d/dx3

=2x + 5 + 0 (derivative of constant is 0)

=2x + 5