The derivative of ANY constant expression - one that doesn't depend on variables - is zero.
Find the square root of each of its components, and muliply them together. For example, 36x8 the square root of 36 is 6 the square root of x8 is x4 so the square root of 36x8 is 6x4
The same way as you find the square root with an even-numbered exponent. For example, the square root of x10 is x5. That is, divide the exponent by 2. Similarly, the square root of x7 is x3.5. Once again, you simply calculate one-half of the exponent. If you prefer to express this with integer exponents and square roots, in this example you can write x3.5 as x3x0.5. The second part, x0.5, is equivalent to the square root of "x".
Use a calculator. Most will allow you to find 70(1/4) Or find the square root of the square root of 70.
The same way you find the square root of any number. The fastest way would be to type 225, followed by the square root key, in a calculator.
3/(4*square root(x)) ....Mukesh
-1/(2*x2)
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.
Use a calculator (if you need) to find the principal square root. The second square root is the negative of the number.
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).
It is negative one divided by 4 multiplied by x to the power of 1.5 -1/(4(x^1.5))
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The derivative of ANY constant expression - one that doesn't depend on variables - is zero.