what is the derivative of: x^2+a in respect to X?

Question

simple, I know...
just answer please ! :)

Answer 1

Assuming you mean (x^2) + a and not x^(2+a), just take the derivative of each term with respect to x. The derivative of x^2 is just 2x, following the rule that the derivative of x^p for some power "p" is p*x^(p-1). And assuming "a" is a constant, the derivative of that is zero. So the derivative of x^2 + a is 2x + 0, or simply 2x.

Answer 2

for x^n , derivative is n*x^(n-1)..so for x^2 derivative is 2*x(2-1)= 2*x^1=2x
for constant derivative is 0 , so for a derivative is 0

so derivative of x^2+a = 2x

Answer 3

2*x all you have to do is multiply the function by the exponent and minus one from the exponent... so if you have the function f(x)= a*x^b the derivative is going to be a*b*x^(b-1). The a disappears because it is a constant and there is x to take the derivative. So the derivative to a with respect to x is just zero

Answer 4

y = x^2+a

the derivative of x^2 =2x, The derivative of a =0

so dy/dx= 2x

Answer 5

2x