square root of x is the same as x^(1/2).
You do the same as you would normally
1/2 * x^(-1/2). Take the exponent, put it down in front of x and subtract the exponent by 1 (1/2 - 1 = -1/2)
The square root of x = x to the power of a half
the derivative is 0. the derivative of a constant is always 0.
The derivative of sqrt(2) is zero.
Write square root of x as x1/2. Then use the formula for the derivative of a power.
Use the formula for the derivative of a power. The square root of (x-5) is the same as (x-5)1/2.
The derivative of cos x is -sin x, the derivative of square root of x is 1/(2 root(x)). Applying the chain rule, the derivative of cos root(x) is -sin x times 1/(2 root(x)), or - sin x / (2 root x).
3/(4*square root(x)) ....Mukesh
One cannot find the square root of a negative number.
3
The derivative of ANY constant expression - one that doesn't depend on variables - is zero.
The derivative of any constant - any expression that does not involve the independent variable - is zero.
The derivative, with respect to x, is -x/sqrt(1-x2)