What formula do we need, in addition to: d/dx (x^n) = nx^(n-1) d/dx (cu) = c du/dx d/dx (u_1 + u_2 + ... + u_n) = du_1/dx + du_2/dx + ... + du_n/dx to differentiate rational functions?

Khadija Wells

Khadija Wells

Answered question


What formula do we need, in addition to: ddx(xn)=nxn1
ddx(u1+u2++un)=du1dx+du2dx++dundx to differentiate rational functions?

Answer & Explanation

Tasneem Almond

Tasneem Almond

Skilled2021-06-02Added 91 answers

Since rational function include fractions, we need the following formula for differentiating rational functions: ddxf(x)g(x)=((dfdx)(x)g(x)f(x)(dgdx)xg2(x)

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