Datrys f(x)=x^100+x^99+-----+x+1.text{then}f^prime(1)

$$f ( x ) = x ^ { 100 } + x ^ { 99 } + - - - - - + x + 1 . \text { then } f ^ { \prime } ( 1 )$$

Enrhifo

$$x^{100}+x^{99}-x+1$$

Camau Ateb

Lluosi -1 a -1 i gael 1.

$$x^{100}+x^{99}-\left(-\left(-x\right)\right)+1$$

Lluosi -1 a -1 i gael 1.

$$x^{100}+x^{99}-x+1$$

Gwahaniaethu w.r.t. x

$$100x^{99}+99x^{98}-1$$

Camau gan Ddefnyddio Rheol Deilliadol ar gyfer Swm

Lluosi -1 a -1 i gael 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{100}+x^{99}-\left(-\left(-x\right)\right)+1)$$

Lluosi -1 a -1 i gael 1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{100}+x^{99}-x+1)$$

Deilliad polynomaial yw swm deilliadau ei dermau. Deilliad term cyson yw 0. Y deilliad o ax^{n} yw nax^{n-1}.

$$100x^{100-1}+99x^{99-1}-x^{1-1}$$

Tynnu 1 o 100.

$$100x^{99}+99x^{99-1}-x^{1-1}$$

Tynnu 1 o 99.

$$100x^{99}+99x^{98}-x^{1-1}$$

Tynnu 1 o 1.

$$100x^{99}+99x^{98}-x^{0}$$

Ar gyfer unrhyw derm t ac eithrio 0, t^{0}=1.

$$100x^{99}+99x^{98}-1$$