Matematika turunan fungsi y=5X²=​

turunan fungsi y=5X²=​ Y = 25.

Semoga benar

Turunan Sebelum Ditemukan Turunan

[tex] \lim_{\Delta h \to 0} \frac{f(x+h)-f(x)}{\Delta h} \\ \ \\ = \lim_{\Delta h \to 0} \frac{5(x+\Delta h)^2-5x^2}{\Delta h}=\lim_{\Delta h \to 0} \frac{5(x^2+2x\Delta h+\Delta h^2)-5x^2}{\Delta h} \\ \\ =\lim_{\Delta h \to 0} \frac{5x^2+10x\Delta h+5\Delta h^2-5x^2}{\Delta h}=\lim_{\Delta h \to 0} \frac{10x\Delta h+5 \Delta h^2}{\Delta h}\\ \\ =\lim_{\Delta h \to 0} \frac{\Delta h(10x+5\Delta h)}{\Delta h}=\lim_{\Delta h \to 0} {10x+\Delta h}=10x+0=10x[/tex]

Turunan Setelah Ditemukan Turunan

[tex]y=5x^2[/tex]

[tex]f(x)=kx^n\\ \\ \frac{dy}{dx}f(x)=n\times k\times x^n^-^1=5\times 2\times x^2^-^1=10x [/tex]

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