Câu 4: \(y=x^3-3x+2\)
=>\(y'=3x^2-3\)
\(y'\left(2\right)=3\cdot2^2-3=3\cdot4-3=12-3=9\)
Phương trình tiếp tuyến là:
\(y-f\left(2\right)=f'\left(2\right)\left(x-2\right)\)
=>y-4=9(x-2)=9x-18
=>y=9x-18+4=9x-14
Câu 5: \(y=e^{\sqrt{2x+5}}\)
=>\(y'=e^{\sqrt{2x+5}}\cdot\left(\sqrt{2x+5}\right)'\)
=>\(y'=e^{\sqrt{2x+5}}\cdot\dfrac{-\left(2x+5\right)'}{2\sqrt{2x+5}}=-2\cdot\dfrac{e^{\sqrt{2x+5}}}{2\sqrt{2x+5}}\)
=>\(y'=\dfrac{-e^{\sqrt{2x+5}}}{\sqrt{2x+5}}\)
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