Advertisements
Advertisements
Question
Find `"dy"/"dx"` if, y = log(log x)
Solution
y = log(log x)
Differentiating both sides w.r.t.x, we get
`"dy"/"dx" = "d"/"dx"` [log (log x)]
`= 1/(log "x") * "d"/"dx" (log "x")`
`= 1/(log "x") * 1/"x"`
∴ `"dy"/"dx" = 1/("x" * log "x")`
APPEARS IN
RELATED QUESTIONS
Find `"dy"/"dx"` if, y = `sqrt("x" + 1/"x")`
State whether the following is True or False:
The derivative of polynomial is polynomial.
Find the rate of change of demand (x) of a commodity with respect to its price (y) if y = 25 + 30x – x2.
Find `"dy"/"dx"`, if y = xx.
If sin−1(x3 + y3) = a then `("d"y)/("d"x)` = ______
If y = (5x3 – 4x2 – 8x)9, then `("d"y)/("d"x)` is ______
State whether the following statement is True or False:
If y = ex, then `("d"y)/("d"x)` = ex
State whether the following statement is True or False:
If x2 + y2 = a2, then `("d"y)/("d"x)` = = 2x + 2y = 2a
Given f(x) = `1/(x - 1)`. Find the points of discontinuity of the composite function y = f[f(x)]
y = sin (ax+ b)
y = `cos sqrt(x)`
Find `"dy"/"dx"` if, `"y" = "e"^(5"x"^2 - 2"x" + 4)`
Find the rate of change of demand (x) of acommodity with respect to its price (y) if
`y = 12 + 10x + 25x^2`
If y = `sqrt((1 - x)/(1 + x))`, then `(1 - x^2) dy/dx + y` = ______.
If y = `root5((3x^2 + 8x +5)^4)`, find `dy/dx`.
Find `dy/dx` if, y = `e^(5x^2 - 2x + 4)`
Find `dy/dx` if, y = `e^(5x^2-2x+4)`
If `y=root5((3x^2+8x+5)^4)`, find `dy/dx`
Find `dy/dx` if, `y = e^(5x^2 - 2x + 4)`.
