Find the dy/dx of each of the following:
1.y=〖5x〗^3-〖4x〗^2+3x-6
2.y=∛x+4/x+√x
3.y=(3-x^2 )(x^3-x+1)
4.y=(x^2+1)(x+5+1/x)
5.y=(5x+1)/(2√x)
1.dy/dx=375x2-32x+3
2.dy/dx=13x23−4x2+12xdy/dx=\frac{1}{3\sqrt[3]{x^2}}-\frac{4}{x^2}+\frac{1}{2\sqrt{x}}dy/dx=33x21−x24+2x1
3.y=3x3−3x+3−x5+x4−x2y=3x^3-3x+3-x^5+x^4-x^2y=3x3−3x+3−x5+x4−x2
dy/dx=9x2−3−5x4+4x3−2xdy/dx=9x^2-3-5x^4+4x^3-2xdy/dx=9x2−3−5x4+4x3−2x
4.y=x3+5x2+x+x+5+1/xy=x^3+5x^2+x+x+5+1/xy=x3+5x2+x+x+5+1/x
dy/dx=3x2+10x+2−1x2dy/dx=3x^2+10x+2-\frac{1}{x^2}dy/dx=3x2+10x+2−x21
5.dy/dx=54x−14x23dy/dx=\frac{5}{4\sqrt{x}}-\frac{1}{4\sqrt[3]{x^2}}dy/dx=4x5−43x21
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