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Differentiate {e}^{{x}}{{{{{x}}}}}{{{x}}} with respect to {x}

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Differentiate $e^{x} lo g x tan x$ with respect to $x$ .

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Differentiate

e^{x} lo g x tan x

with respect to

x

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Practice questions from similar books

Question 1

Repeated roots : If equation f(x) = 0, where f(x) is a polyno- mial function, has roots

α, α, β, \dots or α

root is repreated root, then f(x) = 0 is equivalent to

(x - α)^{2} (x - β) \dots = 0,

from which we can conclude that

f (x) = 0 or 2 (x - α) [(x - β) \dots] + (x - α)^{2} [(x - β) \dots]^{'} = 0 or (x - α) [2 {(x - β) \dots} + (x - α) {(x - β) \dots}^{'}] = 0

has root

α

. Thus, if

α

root occurs twice in the, equation, then it is common in equations f(x) = 0 and f'(x) = 0. Similarly, if

α

root occurs thrice in equation, then it is common in the equations f(x)=0, f'(x)=0, and f'''(x)=0.
If x-c is a factor of order m of the polynomial f(x) of degree n

(1 < m < n)

, then x=c is a root of the polynomial [where

f^{r} (x)

represent rth derivative of f(x) w.r.t. x]

View solution

Question 2

x = sin t

and

y = sin p t,

prove that

(1 - x^{2}) \frac{d ^{2} y}{d x ^{2}} - x \frac{d y}{d x} + p^{2} y = 0 .

View solution

Question 3

If g is inverse of f then prove that

f^{''} (g (x)) = - g^{''} (x) (f^{'} (g (x)))^{3} .

View solution

Question 4

x = a (cos t + t sin t) a n d

y=a (sin t - t cos t), then find the value of

\frac{d ^{2} y}{d x ^{2}}

t = \frac{π}{4}

View solution

Question Text

Differentiate

e^{x} lo g x tan x

with respect to

x

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Differentiate exlogx​tanx with respect to x .

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Practice questions from similar books

Differentiate $e^{x} lo g x tan x$ with respect to $x$ .