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If y =2 sin x+cot x, then find (dy)/(dx)...

If `y =2 sin x+cot x`, then find `(dy)/(dx)` at `x=(pi)/(4)`.

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If y=x^(sin x), then find (dy)/(dx)

(i) If y= 6x^(5) -4x^(4) -2x^(2) +5x -9 " find " (dy)/(dx) at x = -1 (ii) If y = (sin x + tan x) , " find " (dy)/(dx) at x = pi/4 (iii) If y = ((2 -3 cos x))/sin x , " find " (dy)/(dx) at x = pi/4

Knowledge Check

  • If y = (tan x)^(cot x) " then " (dy)/(dx)= ?

    A
    `cot x.(tan x)^(cot x -1). Sec^(2) x`
    B
    `- (tan x)^(cot x). "cosec"^(2)c`
    C
    `(tanx)^(cot x)."cosec"^(2)x (1 - log tan x)`
    D
    none of these

  • If y = e^(x). cot x then (dy)/(dx) will be

    A
    `e^(x) cot x- cosec^(2) x`
    B
    `e^(x) cosec^(2) x`
    C
    `e^(x)[cot x- cosec^(3) x]`
    D
    `e^(x) cot x`

  • If Y = ((2 - 3 cos x)/("sin" x)) , then (dy)/(dx) at x = (pi)/(4) is

    A
    `2 (3 - sqrt(2)`
    B
    `2 - 3 sqrt(2)`
    C
    `3 sqrt(2) + 1`
    D
    `6 - sqrt(2)`

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    If y=e^(sin x) ,the value of (dy)/(dx) at x=(pi)/(2) is

    If y=sin^(-1)(sin x), then (dy)/(dx) at x=(pi)/(2) is

    Find (dy)/(dx) if y=sin^(2)x^(4)

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