I'm told that you don't need the product rule, or chain rule, or quotient rule to work it out. Can anyone show the workings as well please...?
ã(2x) = ã2 ãx
You can take it from here using the power rule and the scalar multiple rule.
A derivative is a mathematical concept that represents the rate of change of a function at a specific point. It tells us how fast a function is changing at that point.
The derivative of a function is found by taking the limit of the difference quotient as the change in x approaches 0. In simpler terms, it is found by taking the slope of the tangent line at a specific point on the function.
The chain rule is a rule used in calculus to find the derivative of a composite function. It states that the derivative of a composite function is equal to the derivative of the outer function multiplied by the derivative of the inner function.
The derivative of a square root function is equal to 1 over 2 times the square root of the original function. In other words, it is equal to half the original function raised to the power of -1/2.
The derivative of √(2x) is equal to 1 over 2 times the square root of 2x. This can also be written as 1 over 2√(2x). In general, the derivative of √(ax) would be 1 over 2 times the square root of ax.