Gwahaniaethu w.r.t. x_6
\frac{1}{\left(\cos(x_{6})\right)^{2}}
Enrhifo
\tan(x_{6})
Rhannu
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\frac{\mathrm{d}}{\mathrm{d}x_{6}}(\frac{\sin(x_{6})}{\cos(x_{6})})
Defnyddio diffiniad tangiad.
\frac{\cos(x_{6})\frac{\mathrm{d}}{\mathrm{d}x_{6}}(\sin(x_{6}))-\sin(x_{6})\frac{\mathrm{d}}{\mathrm{d}x_{6}}(\cos(x_{6}))}{\left(\cos(x_{6})\right)^{2}}
Ar gyfer unrhyw ddau ffwythiant y mae modd eu gwahaniaethu, deilliad cyniferydd dau ffwythiant yw’r enwadur wedi’i luosi â deilliad yr enwadur wedi’i dynnu o’r rhifiadur wedi’i luosi â deilliad yr enwadur, y cwbl wedi’i rannu â’r enwadur wedi'i sgwario.
\frac{\cos(x_{6})\cos(x_{6})-\sin(x_{6})\left(-\sin(x_{6})\right)}{\left(\cos(x_{6})\right)^{2}}
Deilliad sin(x_{6}) yw cos(x_{6}), a deilliad cos(x_{6}) yw −sin(x_{6}).
\frac{\left(\cos(x_{6})\right)^{2}+\left(\sin(x_{6})\right)^{2}}{\left(\cos(x_{6})\right)^{2}}
Symleiddio.
\frac{1}{\left(\cos(x_{6})\right)^{2}}
Defnyddio'r Hunaniaeth Pythagoreaidd.
\left(\sec(x_{6})\right)^{2}
Defnyddio diffiniad secant.
Enghreifftiau
Hafaliad cwadratig
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y = 3x + 4
Rhifyddeg
699 * 533
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\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Hafaliad ar y pryd
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Gwahaniaethu
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integreiddiad
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Terfynau
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}