Advertisements
Advertisements
Question
Choose the correct alternative:
If y = (x )x + (10)x, then `("d"y)/("d"x)` = ?
Options
xx(1 – log x) + 10xlog10
xx(1 + log x) – 10xlog10
x(1 + log x) + 10xlog10
xx(1 + log x) + 10xlog10
Solution
xx(1 + log x) + 10xlog10
APPEARS IN
RELATED QUESTIONS
Find `"dy"/"dx"`if, y = `"x"^("e"^"x")`
Find `"dy"/"dx"`if, y = `"e"^("x"^"x")`
Find `"dy"/"dx"`if, y = `(1 + 1/"x")^"x"`
Find `"dy"/"dx"`if, y = (2x + 5)x
If y = elogx then `dy/dx` = ?
Fill in the blank.
If x = t log t and y = tt, then `"dy"/"dx"` = ____
If y = x log x, then `(d^2y)/dx^2`= _____.
Differentiate log (1 + x2) with respect to ax.
If xy = 2x – y, then `("d"y)/("d"x)` = ______
Find `(dy)/(dx)`, if xy = yx
Find `("d"y)/("d"x)`, if xy = log(xy)
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 = (log x)2 the `dy/dx` = ______.
FInd `dy/dx` if,`x=e^(3t), y=e^sqrtt`
Find `dy/dx` if, y = `x^(e^x)`
Find `dy / dx` if, `y = x^(e^x)`
