Assume that we have a function
f(x) = 3x + 1, and I want to explain what actually derivative is. For this purpose, I constructed following sentence:
If you increment the value of variable x by 1, the result of the function is incremented by 3, and this is always constant because of constant slope.
In this sentence, I used the verb "increment" two times, and this sounds to me weird and not proper. Is there a more formal and proper way to express such a situation ? I think that the alternative verb for "increment" is "increase" or maybe "rise", but they are not appropriate candidates to replace second "increment" in the sentence.