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Nara1666
@Nara1666
July 2022
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ПОМОГИТЕ ПОЖАЛУЙСТА!!!!
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oganesbagoyan
Verified answer
Task/28558971
-------------------
Вычисли производную f(x) =kx , где k - константа
-----------------------
f '(x) =lim
(
f(x₀+∆x) - f(x₀)
)
/∆x
∆x→0
f(x₀) = kx
₀
f(x₀+∆x) = k(x₀+∆x) = kx₀+k∆x
f(x₀+∆x) -f(x₀) = kx₀+k∆x -kx₀ = k∆x
( f(x₀+∆x) -f(x₀) ) /∆x = k∆x /∆x= k
f '(x) =lim
(
f(x₀+∆x) -f(x₀)
)
/∆x =lim
k = k .
∆x→0 ∆x→0
ответ: k.
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Verified answer
Task/28558971-------------------
Вычисли производную f(x) =kx , где k - константа
-----------------------
f '(x) =lim ( f(x₀+∆x) - f(x₀) ) /∆x
∆x→0
f(x₀) = kx₀
f(x₀+∆x) = k(x₀+∆x) = kx₀+k∆x
f(x₀+∆x) -f(x₀) = kx₀+k∆x -kx₀ = k∆x
( f(x₀+∆x) -f(x₀) ) /∆x = k∆x /∆x= k
f '(x) =lim ( f(x₀+∆x) -f(x₀) ) /∆x =lim k = k .
∆x→0 ∆x→0
ответ: k.