use the product rule, f(x)g(y') + g(y)f(x')EnumaElish said:How do you find the derivative of f(x)g(y)?
you didn't do the product rule rightBuBbLeS01 said:use the product rule, f(x)g(y') + g(y)f(x')
It should be f(x)g'(y)y' + f '(x)g(y).BuBbLeS01 said:f(x)g(y') + f(x')g(y)
you still have 1 more stepBuBbLeS01 said:ok thank you!
[2 sinxcosx]'= 2 [(sin(x)' cos(x)+ sin(x) cos(x)']BuBbLeS01 said:Homework Statement
find the derivative of...
2 sinxcosy = 1
The Attempt at a Solution
(2 cosxcosy) * (cosy')
cos y' = -2 cosxcosy
y' = (-2 cosxcosy)/(cos)
I know that's not right but I am not sure where I am making the mistake.
The purpose of solving for y' derivative is to find the rate of change of a function with respect to its independent variable. It helps us understand the behavior of the function and how it changes over a given interval.
To solve for y' derivative in a given equation, you need to use the rules of differentiation, such as the power rule, product rule, and chain rule. These rules help simplify the equation and find the derivative of each term.
The steps involved in solving for y' derivative are as follows: first, use the rules of differentiation to simplify the equation. Next, find the derivative of each term with respect to the independent variable. Then, substitute the values of the independent variable into the derivative expression. Finally, simplify the resulting expression to get the y' derivative.
Solving for y' derivative is significant because it helps us understand the behavior of a function and how it changes over a given interval. It also allows us to find the slope of a tangent line at a specific point on the function, which is useful in many real-world applications.
Yes, there are some common mistakes to avoid when solving for y' derivative. These include forgetting to use the rules of differentiation, making errors in the algebraic simplification, and not substituting the values of the independent variable correctly. It is important to double-check your work and be careful with your calculations to avoid these mistakes.