Question
Please post your thoughts as to the benefit of this idea or not. Thanks. Shortcuts hints for memorizing I don't like memorizing any more than
Please post your thoughts as to the benefit of this idea or not. Thanks.
Shortcuts hints for memorizing
I don't like memorizing any more than anyone else. So I know that the derivative of sin x is cos x. But instead of memorizing derivative of cos x, I use the fact that cos is the COFUNCTION of the sin. I also know that DERIVATIVE OF COFUNCTIONS REQUIRE A '-1' FACTOR. So to find the derivative of cos x, the cofunction is sin x. Now the derivative of the sin x is cos x. So the derivative of cos x is -1* cofunction of derivative of sin x or -1* cofunction of cos x or -sin x. Make sense?
This may seem like even more work, but it will prove useful as we explore the other four trig functions.
A LIST OF DIFFERENTIAL FORMULAS. Focus please on and memorize #9, #11 & #13, no more. Notice how my idea above now works.
9. d(sin(u))/dx = cos(u) du/dx
11. d(tan(u))/dx = sec(u) ) du/dx
13. d(sec(u))/dx = sec(u)tan(u) du/dx
To find the derivative of csc x, knowing that the derivative of sec x is sec x tan x, we just take -1*cofunctions or derivative of csc x is -csc x cot x!
Please now post thoughts as to the benefit of this idea or not. Thanks.
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