The derivative of 5x is 5.
The square root of x = x to the power of a half
the derivative is 0. the derivative of a constant is always 0.
a+ square root of b has a conjugate a- square root of b and this is used rationalize the denominator when it contains a square root. If we want to multiply 5 x square root of 10 by something to get rid of the radical you can multiply it by square root of 10. But if we look at 5x( square root of 10 as ) 0+ 5x square root of 10 then the conjugate would be -5x square root of 10
The derivative of sqrt(2) is zero.
5x times the square root of y
Use the formula for the derivative of a power. The square root of (x-5) is the same as (x-5)1/2.
I understand this expression to be 10x3 + 5x. Derivative: 30x2 + 5.
The square root of anything to an even power is that thing to half the power. √(5x^13) = √(x^12 5x) = √(x^12) √(5x) = x^6 √(5x) But is that really any simpler?
x = 10x, so derivative = 10
3/(4*square root(x)) ....Mukesh