pinkroses16
pinkroses16 pinkroses16
  • 25-03-2018
  • Mathematics
contestada

Create a function that has a derivative of f(x) = 2x + 1 at a given input value of your choice.

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Catya
Catya Catya
  • 25-03-2018
The opposite operation to taking a derivative is an integral. Integrate to find original function.

f(x) = x^2 + x + C

C is constant because we didn't have bounds on the integral. it lets you choose the input value let's say is just (1,0)

0 = 1 + 1 + C
- 2 = C

function at input value (1,0)
f(x) = x^2 + x - 2

now if you check by taking derivative is :
f' = 2x + 1
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