Differentiate the following function.
y ' = ?
ATTEMPT
y=x^1/2(5x-2)
= 5x^(3/2)-2x(1/2)
= (15/2)x^(1/2)-x^(-1/2)
Then from this step I am lost. So please help me out! THANKS!
You have done it correctly. Although it is bad form to write it the way you've written it. You should have:
Now, you can make it look a bit prettier from here. Remember that . So we can write:
Now write it with square root signs!
.
An easier way to do this might been with the product rule, which states that if , then