kirstenrewis
kirstenrewis kirstenrewis
  • 12-01-2017
  • Advanced Placement (AP)
contestada

I reallllllyyy need help, it's literally my last question and Im stuck on it.
f(0)=3
f'(0)=5
f"(0)=7
h(x)=cos(kx)[f(x)]+sinx
Find h'(x) at x=0.

Respuesta :

bartdrinksmalk
bartdrinksmalk bartdrinksmalk
  • 12-01-2017
We have
[tex]h(x)=\cos (kx)*f(x)+\sin x[/tex]

We take the derivative of [tex]h(x)[/tex]:
[tex]h'(x)=\cos (kx)*f'(x)+k(-\sin (kx))*f(x)+\cos x[/tex]

Now we simply plug in 0:
[tex]h'(0)=\cos (k*0)*f'(0)-k\sin (k*0)*f(0)+\cos 0[/tex]
[tex]=\cos 0 *5-k\sin 0 *3+\cos 0[/tex]
[tex]=5*1-3k*0+1[/tex]
[tex]=5+1[/tex]
[tex]=6[/tex]
Answer Link

Otras preguntas

is 1.1111111 a rational number
___________ is the ability of a product to satisfy a customer.
Find the median for the given set of data. 5/8 , 3/4, 1-1/4, 1-1/4
A 5-digit number has the digits 0,5,7,9 and 0. To the nearest thousands, it rounds to 80,000. What is the number? Explain
if you have a pond which is 8 metres long 4 metres wide and 2 metres deep what is the volume of the pond
Jonathan’sparents told him that for every 5 hours of homework or reading he completes, hewill be able to play 3 hours of video games. His friend Lucas’s parents
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How many grams of protein do you need
how do i solve literal equations? ex. p=2(a b) solve for b
At what temperature would stored raw chicken become unsafe to use?
find the sine, cosine, and tangent of 360 degrees. (5 points) sin 360 degrees = 1, cos 360 degrees = 0, tan 360 degrees = 1 sin 360 degrees = 0, cos 360 degrees