hoi lam the

k mk nha

Ta có f(x1-x2)=k(x1-x2)=f(x1)-f(x2) =>đpcm

Cam on ban nha! Nhung ban co the giai ro hon dc ko?

a. ta có \(f\left(10x\right)=k.10x=10.kx=10f\left(x\right)\)

b. \(f\left(x_1+x_2\right)=k\left(x_1+x_2\right)=kx_1+kx_2=f\left(x_1\right)+f\left(x_2\right)\)

c.\(f\left(x_1-x_2\right)=k\left(x_1-x_2\right)=kx_1-kx_2=f\left(x_1\right)-f\left(x_2\right)\)

ta có:

\(f\left(x_1\right)=kx_1;f\left(x_2\right)=kx_2=>f\left(x_1-x_2\right)=k.\left(x_1-x_2\right)=kx_1-kx_2\)

vậy \(f\left(x_1-x_2\right)=f\left(x_1\right)-f\left(x_2\right)\)

tick mk nhé

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Ta có: y = f(x) = kx => f(x₁) = kx₁ và f(x₂₎ = kx₂ 

Từ đó ta có: f(x₁ - x₂) = k(x₁ - x₂) (1)

                    f(x₁) - f(x₂) = kx₁ - kx₂ = k ( x₁ - x₂) (2)

Từ (1) và (2) => f(x₁ - x₂) = f(x₁) - f(x₂) 

Ta co y=kx => y=k/x => x=y/k

=> x1=y1/k ; x2 =y2/k

a: \(f'\left(x0\right)=\lim\limits_{x\rightarrow x0}\dfrac{f\left(x\right)-f\left(x0\right)}{x-x0}=\lim\limits_{x\rightarrow x0}\dfrac{x^2+1-x_0^2-1}{x-x_0}\)

\(=\lim\limits_{x\rightarrow x0}\dfrac{\left(x-x0\right)\left(x+x0\right)}{x-x0}=\lim\limits_{x\rightarrow x0}x+x0=x0+x0=2x0\)

b: \(f'\left(x0\right)=\lim\limits_{x\rightarrow x0}\dfrac{f\left(x\right)-f\left(x0\right)}{x-x0}\)

\(=\lim\limits_{x\rightarrow x0}\dfrac{kx+c-k\cdot x0-c}{x-x0}=\lim\limits_{x\rightarrow x0}\dfrac{k\left(x-x0\right)}{x-x0}\)

=\(\lim\limits_{x\rightarrow x0}k=k\)