Math Editor

Calculus

There are 2 kinds of calcul​us :

1.deferential calculus/differentiation 2.integral calculus/integration

⇕ ৷ ⇕

অন্তরীকরণ /ব্যবকলন যোগজীকরণ/সমাকলন

Differential operators

Δ/δ = the rate of changing

dx d​​= differential operator

→ = tends to

Slope

The formula of determining slope : tanθ=ΔxΔy​

Differential laws

1.dxd​(xn)=nxn−1

2.dxd​(cxn)=c×dxd​(xn)

3.dxd​(c)=04.dxd​(x+y+...)=dxd​(x)+dxd​(y)+...5.dxd​(xy)=xdxd​(y)+ydxd​(x)6.dxd​(lnx)=x1​7.dxd​(sinx)=cosx8.dxd​(cosx)=−sinx​

9.dxd​(tanx)=sec2x10.dxd​(cotx)=−csc2x11.dxd​(secx)=secxtanx​

1.dxd​(cscθ)=−cscxcotx

The relation between differentiation and integration

If we differentiate a function we get the function back by integration. More simply, "a function's" differential value is "x" then, its integral value will be "that function".

integration