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oh. ok.
so for cos^4(2x)
the derivative would be
[cos²(2x)²]'=[2cos²(2x)]*[2cos(2x)]*[-sin(2x)][2]
=-8cos³(2x)sin(2x)
and the whole equation would be,
2y (dy/dx) = 8sin³(2x)cos(2x) - 8cos³(2x)sin(2x)
dy/dx = {8sin(2x)cos(2x)[sin²(2x)-cos²(2x)]} / 2y
... but how do i go further?
i am supposed to make the dy/dx = (-sin8x)/y
thanx a lot for the answer
How do I find the derivative of
y^2=sin^4(2x)+cos^4(2x) ?
I know that for y^2, i have to use implicit differentiation.
But for sin^4(2x), is it like saying (sin^2(2x))^2??
So in a similar question that goes
"How many 7 digit even numbers less than 3 000 000 can be formed using all the digits 1,2,2,3,5,5,6?", the answer would be
3*5*4*3*2*1*2 divide by 2*2=180 right?
but the answer is 210
I'm confused
Thank you for the answers though!
But the number has to be odd as well :$
The question goes:
How many 6-digit odd numbers less than 200 000 can be formed using the digits 1,1,2,2,3 and 5?
How do I solve this kind of question? can anybody help me please?!!!:
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