JerG90 said:Homework Statement
Homework Equations
Basic rules- Power, product, and quotient
The Attempt at a Solution
The first step would be to rewrite the equation:
f(x)= x^2/3 + 1/ x^1/2
I'm lost here. I don't know what to do when the variable is in the denominator like that.
Any help would be greatly appreciated.
The purpose of deriving with radicals in calculus is to find the rate of change of a function that involves radicals. This allows us to better understand the behavior of the function and make predictions about its future values.
The approach for deriving with radicals is similar to traditional calculus derivatives, except we use rules specific to radicals. This includes using the power rule for radicals and applying the chain rule when necessary.
Some common mistakes when deriving with radicals include forgetting to apply the chain rule, not simplifying radicals correctly, and misapplying the power rule for radicals.
To simplify radicals in a derivative, we use the properties of radicals, such as the product and quotient rules. This allows us to rewrite the radical expression in a simpler form before taking the derivative.
Yes, the chain rule can be applied when the function involves multiple radicals. We can break down the function into smaller parts, and then apply the chain rule to each part separately before combining them to find the overall derivative.