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10 cards from this deck
Differentiating the product of two functions
dydx=udvdx+vdudx\frac{dy}{dx}=u\frac{dv}{dx}+v\frac{du}{dx}dxdy=udxdv+vdxdu
dydx=u′v+uv′\frac{dy}{dx}=u'v+uv'dxdy=u′v+uv′
u=x2u=x^2u=x2, v=sin(x)v=\sin(x)v=sin(x)
x2cos(x)+2xsin(x)x^2\cos(x)+2x\sin(x)x2cos(x)+2xsin(x)
u=exu=e^xu=ex, v=ln(x)v=\ln(x)v=ln(x)
exx+exln(x)\frac{e^x}{x}+e^x\ln(x)xex+exln(x)
u=x2u=x^2u=x2, v=3x+1v=\sqrt{3x+1}v=3x+1
15x2+4x23x+1\frac{15x^2+4x}{2\sqrt{3x+1}}23x+115x2+4x
cos(x)\cos(x)cos(x)
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