WebFind the function f (x) such that f' (x) = f (x) (1-f (x)) and f (0) = 1/7. (Use f for f (x) in your equation). I'm assuming I can write this as: d f d x = f ( 1 − f) And rearrange it such that: d f f − f 2 = d x And take the integrals of both sides so: l n f − l n ( f − 1) = x BUT when I try to solve for f (taking e on both sides), I get: WebFind the Domain and Range f (x)=1/ (x-1) f (x) = 1 x − 1 f ( x) = 1 x - 1 Set the denominator in 1 x−1 1 x - 1 equal to 0 0 to find where the expression is undefined. x−1 = 0 x - 1 = 0 …
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WebDec 25, 2016 · Explanation: First, find the derivative. f '(x) = 3x2 +6x + 1 A horizontal tangent will have a slope of 0. The derivative represents the instantaneous rate of change of a function. Set the derivative to 0 and solve for x. 0 = 3x2 +6x +1 x = −6 ± √62 − 4 ⋅ 3 ⋅ 1 2 ⋅ 3 x = −6 ± √24 6 x = −6 ± 2√6 6 x = − 1 ± 1 3√6 x = − 3 ± √6 Hopefully this helps! WebThe correct way of proving this is: let x ∈ A, then f (x) ∈ {f (x) ∣ x ∈ A} = f [A] by the definition of image. Now ... Proving that C is a subset of f −1[f (C)] … health assisting key words
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