Question

Derivative, how to get the derivative of a root? example: √5x-6

Answer 1

Answer:

To find the derivative of a square root, you will just need to consider the expression under the square root as a whole term, or in calculus, as a variable called 'u.'

In this case, our expression is: √(5x-6)

Let u = 5x - 6

du = 5

d/du (√u) = du * 0.5 * u^(-1/2)

Substitute back for u:

d/dx (√u) = 5 * 0.5 * (5x - 6)^(-1/2)

d/dx (√u) = 2.5/√(5x - 6)

Hope this helped!

Answer 2

How to find the derivative of a root?Use the rule to differentiate the following example, first simplifying the root and writing it as a fraction using the notation. Move 7/6 forward then decrease the power by 1. Use the definition of a derivative to differentiate f(x) = x^–1 = 1/x. First simplify the numerator then simplify and cancel as much as possible.