Advertisements
Advertisements
Question
State whether the following is True or False:
The derivative of `log_ax`, where a is constant is `1/(x.loga)`.
Options
True
False
Advertisements
Solution
This statement is True.
RELATED QUESTIONS
Find `"dy"/"dx"`if, y = `"x"^("x"^"2x")`
Find `"dy"/"dx"`if, y = `"x"^("e"^"x")`
Find `"dy"/"dx"`if, y = `(1 + 1/"x")^"x"`
If y = elogx then `dy/dx` = ?
If y = log `("e"^"x"/"x"^2)`, 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 =` _____.
State whether the following is True or False:
If y = log x, then `"dy"/"dx" = 1/"x"`
The derivative of ax is ax log a.
Differentiate log (1 + x2) with respect to ax.
Choose the correct alternative:
If y = (x )x + (10)x, then `("d"y)/("d"x)` = ?
If u = 5x and v = log x, then `("du")/("dv")` is ______
State whether the following statement is True or False:
If y = 4x, then `("d"y)/("d"x)` = 4x
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 = (log x)x + (x)logx
Find `("d"y)/("d"x)`, if y = `root(3)(((3x - 1))/((2x + 3)(5 - x)^2)`
Solve the following differential equations:
x2ydx – (x3 – y3)dy = 0
If y = x . log x then `dy/dx` = ______.
If y = (log x)2 the `dy/dx` = ______.
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)`
Find `dy/(dx)` if, `x = e^(3t), y = e^sqrtt`.
