Advertisements
Advertisements
प्रश्न
If y = (log x)2 the `dy/dx` = ______.
Advertisements
उत्तर
If y = (log x)2 the `dy/dx` = `bbunderline((2 log x) 1/x = (2 log x)/x)`.
Explanation:
y = (log x)2
∴ `"dy"/("d"x) = 2log x."d"/("d"x)(log x)`
= `(2.logx)/x`
APPEARS IN
संबंधित प्रश्न
Find `"dy"/"dx"`if, y = `(1 + 1/"x")^"x"`
Find `"dy"/"dx"`if, y = `(log "x"^"x") + "x"^(log "x")`
Find `"dy"/"dx"`if, y = `10^("x"^"x") + 10^("x"^10) + 10^(10^"x")`
If y = elogx then `dy/dx` = ?
If y = x log x, then `(d^2y)/dx^2`= ______.
Fill in the blank.
If y = y = [log (x)]2 then `("d"^2"y")/"dx"^2 =` _____.
If y = `"e"^"ax"`, then `"x" * "dy"/"dx" =`______.
State whether the following is True or False:
If y = log x, then `"dy"/"dx" = 1/"x"`
State whether the following is True or False:
If y = e2, then `"dy"/"dx" = 2"e"`
The derivative of ax is ax log a.
Choose the correct alternative:
If y = (x )x + (10)x, then `("d"y)/("d"x)` = ?
If u = ex and v = loge x, then `("du")/("dv")` is ______
Find `("d"y)/("d"x)`, if y = [log(log(logx))]2
Find `(dy)/(dx)`, if xy = yx
Find `("d"y)/("d"x)`, if xy = log(xy)
Find `("d"y)/("d"x)`, if x = `sqrt(1 + "u"^2)`, y = log(1 +u2)
Find `("d"y)/("d"x)`, if y = `x^(x^x)`
If xa .yb = `(x + y)^((a + b))`, then show that `("d"y)/("d"x) = y/x`
Solve the following differential equations:
x2ydx – (x3 – y3)dy = 0
If y = x . log x then `dy/dx` = ______.
FInd `dy/dx` if,`x=e^(3t), y=e^sqrtt`
Find `dy/dx , if y^x = e^(x+y)`
Find `dy/dx, "if" y=sqrt((2x+3)^5/((3x-1)^3(5x-2)))`
Find `dy / dx` if, `y = x^(e^x)`
Find `dy/dx "if", y = x^(e^x)`
Find `dy/dx` if, `y = x^(e^x)`
Find `dy/(dx) "if", y = x^(e^(x))`
