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

when you hear your stomach grumble,its most likely influenced by what hormone? >>epinephrine,insulin,ghrelin,cytokines<
The spindle apparatus of animal cells centers on a cell structure called the _____. chromatid centromere centriole mitochondria
Why was travel difficult in ancient Greece
Solve these promblems but u have to estimate 5 1/9 + 1 7/8 11/20 - 5/8 8/9 + 2 13/15
What are the three parts of an ATP molecule?
To write 4 million in scientific notation, will the power of 10 be positive or negative
if a train travels between two cities in 3 hours at an average speed of 65 miles per hour how long it take at an average speed of 80 miles per hour
15pt equals how many cups?
describe three types of trace fossils
how did the colony of India serve the economic needs of britain