humzassgss humzassgss
  • 16-03-2024
  • Mathematics
contestada

I have the problem attached below. I have difficulty with satisfying the two properties.

I have the problem attached below I have difficulty with satisfying the two properties class=

Respuesta :

nerdyuser225 nerdyuser225
  • 16-03-2024
F’(x) = lim h->0 [f (x + h) - f(x)] / h

Substitute formula i and f(x) into the definition above.

=lim h->0 [(1/vx + 1/vh + x^2h + xh^2) - 1/vx]/h

Simplifying

= lim h->0 (1/vh + x^2h + xh^2)/h

Applying property ii and simplifying h

lim h->0 (1 + x^2 + xh)

When h->0

Lim h->0 = 1 + x^2

f’(x) = 1 + x^2
Answer Link

Otras preguntas

what is the answer to evaluate 8x=0.5
If the two lines 2x + y = 0 and y = 3 are plotted on a typical xy coordinate grid, at which point will they intersect?
what is the value of n 9×27+2×31-28=n
what is the ratio of 16:14
to find 19+(11+37), lennie added 19 and 11. then he added 37 to the sum. what property did he use?
what is the ratio of 16:14
What does 'genericize' mean?
how to work problem x-8=-9
What is 48,100,000,000,000 in scientific notation?
1. A scientific hypothesis can become a theory if ______. A) the entire community accepts it B) the hypothesis is tested extensively and competing hypothesis ar