HSC Commerce (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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 

Find `"dy"/"dx"`if, y = `root(3)(("3x" - 1)/(("2x + 3")(5 - "x")^2))`

Find `"dy"/"dx"`if, y = `(log "x"^"x") + "x"^(log "x")`

Find `dy/dx`if, y = `(x)^x + (a^x)`.

Find `"dy"/"dx"`if, y = `10^("x"^"x") + 10^("x"^10) + 10^(10^"x")`

If y = e^logx then `dy/dx` = ?

If y = log `("e"^"x"/"x"^2)`, then `"dy"/"dx" = ?` 

Fill in the Blank

If 0 = log(xy) + a, then `"dy"/"dx" =  (-"y")/square`

Fill in the blank.

If x = t log t and y = t^t, 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:

The derivative of `log_ax`, where a is constant is `1/(x.loga)`.

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 a^x is a^x log a.

Solve the following:

If y = [log(log(logx))]², find `"dy"/"dx"`

Find `"dy"/"dx"` if y = `sqrt(((3"x" - 4)^3)/(("x + 1")^4("x + 2")))`