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[tex] \frac{1}{1+ x^{2} } [/tex]
[tex] \frac{3-x}{x+4} [/tex]
[tex]x+2 \sqrt{x} [/tex]
[tex](x+1) \sqrt{x} [/tex]
[tex] \frac{1}{1+ x^{2} } [/tex]
[tex] \frac{3-x}{x+4} [/tex]
[tex]x+2 \sqrt{x} [/tex]
[tex](x+1) \sqrt{x} [/tex]
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1+x²
y' = - 2x
(1+x²)²
2) y= 3-x
x+4
y' = -(x+4)-(3-x) = -x-4-3+x = -7
(x+4)² (x+4)² (x+4)²
3) y=x+2√x
y'= 1+ 1 = √x +1
√x √x
4) y=(x+1)√x = x√x + √x = x^(3/2) + √x
y' = 3√x + 1 = 3x +1
2 2√x 2√x