Differentiate a2−x21 with respect to x :

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Differentiate {{1}}{{{{{a}^{{2}}-{x}^{{2}}}}}} with respect to

Question

Differentiate $\frac{1}{a ^{2} - x ^{2}}$ with respect to $x$ :

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\frac{1}{a ^{2} - x ^{2}}

with respect to

x

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Practice questions from similar books

Question 1

Let

y = y (x)

is a solution of

\frac{d y}{d x} = f (x)

where

f (x y) = f (x) f (y) \forall x, y \in R

and

f (0) \neq = 0

and

y (0) = \frac{1}{2}

, then

y (\frac{1}{4}) + y (\frac{3}{4})

is equal to

View solution

Question 2

Find the derivative of

sec^{- 1} (\frac{1}{2 x ^{2} - 1}) w.r.t. 1 - x^{2} at x = \frac{1}{2} .

View solution

Question 3

Equation

x^{n} - 1 = 0, n > 1, n \in N, has roots 1, a_{1}, a_{2}, \dots, a_{n - 1} .

The value of

n - 1 \sum r = 1 \frac{1}{1 - a _{r}}

View solution

Question 4

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

a_{1} x^{3} + b_{1} x^{2} + c_{1} x + d_{1} = 0 and a_{2} x^{3} + b_{2} x^{2} + c_{2} x + d_{2} = 0

have a pair of repeated roots common, then

∣ ∣ 3 a_{1} 3 a_{2} a_{2} b_{1} - a_{1} b_{2} 2 b_{1} 2 b_{2} c_{1} a_{2} - c_{2} a_{1} c_{1} c_{2} d_{1} a_{2} - d_{2} a_{1} ∣ ∣ =

View solution

Question Text

Differentiate

\frac{1}{a ^{2} - x ^{2}}

with respect to

x

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Differentiate a2−x2​1​ with respect to x :

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Practice questions from similar books

Differentiate $\frac{1}{a ^{2} - x ^{2}}$ with respect to $x$ :