CBSE Class 12 Maths Continuity and Differentiability Quiz 5

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CBSE / Class 12 / Maths / Continuity and Differentiability

1.

If y = e, then the value of $\frac{dy}{dx}$ |is
1
0
-1
3e

2.

Let f (x) = e, g (x) = sin x and h (x) = f |g(x)|, then $\frac{h'(x)}{h(x)}$ is equal to
e
$\frac{1}{\sqrt{1-x^2}}$
sin x
$\frac{1}{(1-x^2)}$

3.

If y = ae+ be+ c Where a, b, c are parameters, they y’ is equal to
ae– be
ae+ be
-(ae+ be)
ae– be

4.

If sin y + e= e, then $\frac{dy}{dx}$ at (1, π) is equal to
sin y
-x cos y
e
sin y – x cos y

5.

Derivative of the function f (x) = log(Iog,x), x > 7 is
$\frac{1}{x(log5)(log7)(log7-x)}$
$\frac{1}{x(log5)(log7)}$
$\frac{1}{x(logx)}$
None of these

6.

If y = log x + log y, then $\frac{dy}{dx}$ is equal to
$\frac{y}{y-1}$
$\frac{y}{x}$
$\frac{log_{10}e}{x}$ ( $\frac{y}{y-1}$ )
None of these

7.

If y = log [e( $\frac{x-1}{x-2}$ ) $^{1/2}$ ], then $\frac{dy}{dx}$ is equal to
7
$\frac{3}{x-2}$
$\frac{3}{(x-1)}$
None of these

8.

If y = e, then $\frac{dy}{dx}$ is equal to
$\frac{1}{2}$ sec² x
sec² x
sec x tan x
e

9.

If y = 23 then $\frac{dy}{dx}$ is equal to dx
(log 2) (log 3)
(log lg)
(log 18²) y²
y (log 18)

10.

If x= y, then $\frac{dy}{dx}$ is equal to
– $\frac{y}{x}$
– $\frac{x}{y}$
1 + log ( $\frac{x}{y}$ )
$\frac{1+logx}{1+logy}$

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