Lutasin ang (x-3)^1/2 | Microsoft Math Solver

I-differentiate ang w.r.t. x

I-evaluate

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Algebra

5 mga problemang katulad ng:

Katulad na mga Problema mula sa Web Search

https://socratic.org/questions/what-is-the-limit-of-x-x-1-2-as-x-goes-to-infinity

https://socratic.org/questions/how-do-you-use-the-binomial-series-to-expand-1-2-x-5

https://socratic.org/questions/how-do-you-find-the-equation-of-tangent-line-to-the-curve-2x-3-1-2-at-the-point-

https://socratic.org/questions/how-do-you-integrate-7-x-3-2-using-partial-fractions

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\frac{1}{2}\left(x^{1}-3\right)^{\frac{1}{2}-1}\frac{\mathrm{d}}{\mathrm{d}x}(x^{1}-3)

Kung ang F ay ang composition ng dalawang madi-differentiate na function na f\left(u\right) at u=g\left(x\right), ibig sabihin, kung F\left(x\right)=f\left(g\left(x\right)\right), ang derivative ng F ay ang derivative ng f kaugnay ng u times ang derivative ng g kaugnay ng x, ibig sabihin, \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right).

\frac{1}{2}\left(x^{1}-3\right)^{-\frac{1}{2}}x^{1-1}

Ang derivative ng isang polynomial ay ang kabuuan ng mga derivative ng mga term nito. Ang derivative ng anumang constant term ay 0. Ang derivative ng ax^{n} ay nax^{n-1}.

\frac{1}{2}x^{0}\left(x^{1}-3\right)^{-\frac{1}{2}}

Pasimplehin.

\frac{1}{2}x^{0}\left(x-3\right)^{-\frac{1}{2}}

Para sa anumang term na t, t^{1}=t.

\frac{1}{2}\times 1\left(x-3\right)^{-\frac{1}{2}}

Para sa anumang term na t maliban sa 0, t^{0}=1.

\frac{1}{2}\left(x-3\right)^{-\frac{1}{2}}

Para sa anumang term na t, t\times 1=t at 1t=t.