See what we can offer to your school
"SimpleStudy just makes sense...”
Get the best plan for your school
10 cards from this deck
ddx[u(x)v(x)]=u′v+uv′\frac{d}{dx}[u(x)v(x)] = u'v + uv'dxd[u(x)v(x)]=u′v+uv′
If uuu and vvv are functions, d(uv)/dx=u′v+uv′d(uv)/dx = u'v + uv'd(uv)/dx=u′v+uv′.
u′(x)=2xu'(x) = 2xu′(x)=2x
v′(x)=cos(x)v'(x) = \cos(x)v′(x)=cos(x)
dydx=2xsin(x)+x2cos(x)\frac{dy}{dx} = 2x\sin(x) + x^2\cos(x)dxdy=2xsin(x)+x2cos(x)
dy/dx=ex(ln(x)+1/x)dy/dx = e^x(\ln(x) + 1/x)dy/dx=ex(ln(x)+1/x)
dydx=(6x+2)cos(x)−(3x2+2x)sin(x)\frac{dy}{dx} = (6x + 2)\cos(x) - (3x^2 + 2x)\sin(x)dxdy=(6x+2)cos(x)−(3x2+2x)sin(x)
dydx=e3x(2x+3x2)\frac{dy}{dx} = e^{3x}(2x + 3x^2)dxdy=e3x(2x+3x2)
f(x)g′(x)+g(x)f′(x)f(x)g'(x) + g(x)f'(x)f(x)g′(x)+g(x)f′(x) for functions fff and ggg.
Identify uuu and vvv, then apply the product rule.
Select your subjects, and get access to A+ resources today.