1018
  • 1018
for y=4sin(3x), find y(pi)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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welshfella
  • welshfella
plug in pi for x
1018
  • 1018
oh wait sorry that's supposed to be y'(pi)
welshfella
  • welshfella
ok so you have to find the derivative of 4 sin3x

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1018
  • 1018
oh wait i think i got it can you check if this is right
welshfella
  • welshfella
ok
1018
  • 1018
y'=4cos(3x)(3) ?
welshfella
  • welshfella
yea or you could write it as 12 cos (3x)
1018
  • 1018
thanks! may i ask, is this always the right way, because at first i thought i would use the chain rule on 4 and sin(3x)
welshfella
  • welshfella
sin (3x) is a compound function Ignore the 4 at first - just use chain rule on sin 3x . Finally multiply the result by 4.
1018
  • 1018
oh, so should i just ignore numbers that appears before the trig function? i should just do what's inside the funtion?
welshfella
  • welshfella
yes - but of course dont forget to operate on them after you have done the differentiation
welshfella
  • welshfella
eg 2 cos 3x = 2 * -3sin 3x = -6 sin 3x
1018
  • 1018
yes, thanks! oh wait, last one, may you answer this? i think the answer is 0 but not sure
1018
  • 1018
y=1-2u u = x^3 - 2x^2 + 6 find y''(x=1)
welshfella
  • welshfella
y = 1 - 2(x^3 - 2x^2 + 6) y = 1 - 2x^3 + 4x^2 - 12 what do you get for y' ?

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