1st Partfresh_42 said:Can you type in the steps to see what you have done so far? And you can as well use the product rule, it's the same.
See my editorial above: ##x^3 \cdot x^8 = x^{11}## not ##x^{24}##.GustX said:1st Part
(-6x^2+6x^5)(x^9) - ( 3-2x^3 + x^6) (9x^8)
2nd Part
-6x^11 + 6x^14 - (27x^8 - 18x^24 + 9x^14)
3rd Part
-6x^11+6x^14 - 27x^8 + 18x^24-9x^14
lol its hard to type math with itex
finished posting.
Ah I see, I changed it up and it seems closer to the answer, but how do you transform fromfresh_42 said:See my editorial above: ##x^3 \cdot x^8 = x^{11}## not ##x^{24}##.
lol I never woulda thought it that farfresh_42 said:##(x^9)^2 = x^{18}## and ##\frac{1}{x^{18}}=x^{-18}##. So for example the first term is ## -27x^8 \cdot x^{-18}= -27x^{-10}=\frac{-27}{x^{10}}##.
The quotient rule is a formula used to find the derivative of a function that is expressed as a quotient of two other functions. It states that the derivative of the quotient is equal to the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator.
The quotient rule is used when the function can be written as a fraction of two other functions, and neither of the functions can be simplified or factored. In other words, when the function is in the form of f(x)/g(x), where f(x) and g(x) are both functions of x.
To apply the quotient rule, we first identify the numerator and denominator of the function. Then, we take the derivative of the numerator and denominator separately. Next, we plug these values into the quotient rule formula and simplify the expression to find the derivative of the original function.
No, the quotient rule can only be used for functions that can be expressed as a fraction of two other functions. It cannot be used for functions that involve addition, subtraction, multiplication, or division of multiple functions.
Yes, there are other methods for finding the derivative of a function, such as the product rule, chain rule, and power rule. The method used depends on the form of the function and personal preference. It is important to be familiar with all methods in order to find the most efficient way to find the derivative for a given function.