rishi kesh said:
Hi! Please give me a little bit of intuition about this. I will solve the rest. Thanks in advance !PeroK said:
think of manipulating the terms within the square root itselfrishi kesh said:
Whenever you have an expression of the formrishi kesh said:
Hi! I am sorry i tried but i couldn't solve it . I would greatly appreciate your help.PeroK said:
Multiply top and bottom by ##1-\sin x## and see what comes out.rishi kesh said:
Looks good so far. If you can't use the chain rule, you could look for some standard functions that you know the derivative for.rishi kesh said:
To find the derivative of a basic function, you can use the power rule, product rule, quotient rule, or chain rule depending on the form of the function. It is important to understand the rules and practice using them to become proficient in finding derivatives.
The power rule states that the derivative of a function of the form f(x) = x^n is equal to n*x^(n-1). In other words, you can bring the exponent down in front and decrease the exponent by 1.
The chain rule is used when the function is composed of two or more functions. To apply the chain rule, you must take the derivative of the outer function and multiply it by the derivative of the inner function.
The quotient rule is used when the function is in the form of f(x) = g(x)/h(x), where g(x) and h(x) are both functions. It cannot be used for all functions, as some may require the use of the power rule or chain rule to find the derivative.
You can check your derivative by taking the derivative again and seeing if you get back to the original function. This is known as the "reverse chain rule" and can help you confirm that you have found the correct derivative.
