Question

True or False. If F(x) is an antiderivative of f(x) and c is any constant, then F(x) + c is also an antiderivative of f(x).

Answer 1

It's true?

Answer 2

True:D

Answer 3

ya its true

Answer 4

Can u explain y?

Answer 5

yupp ur right

Answer 6

true is the answer

Answer 7

LOL

Answer 8

Differentiate F(x) + c

Answer 9

i new it thanks! :))

Answer 10

oh no here comes JIM ... lol

Answer 11

F(x) is the antiderivative of f(x)

so by definition,

d/dx[ F(x) ] = f(x)

Answer 12

kk thanks guys! :))

Answer 13

so

d/dx[ F(x) + C ] = d/dx[ F(x) ] + d/dx[ C ]

d/dx[ F(x) + C ] = d/dx[ F(x) ] + 0 ... derivative of a constant is 0

d/dx[ F(x) + C ] = f(x)

Answer 14

oh no good luck reading tht lol

Answer 15

lol it's not too bad actually

Answer 16

The infinite number of antiderivatives all only vary by a constant.

Take a curve an curve, and shift the y axis up or down. Does that change the derivative at all? No. Thus, the antiderivative +c is related to this.

Answer 17

yeah well maybe not for u...

Answer 18

No its fine, thanks guys lol :)

Answer 19

but the whole thing to take away from this is that

integral of f(x) = F(x) + C

which is what a lot of people (including me) forget...that +C

Answer 20

Ur Welcome:) @e.cociuba

Answer 21

Yea I tend to forget and it confuses me sometimes lol

Answer 22

kk thanks @jim_thompson5910 @LizzyLove<3 and @e.mccormick :))

Answer 23

np

Answer 24

Peace Yall ;P