Mashaal Masha
Mashaal Masha
 Oct 05, 2022
0
Choose the correct options for the following questions.
Derivate of $\sin(x)$ is
Difficulty: Easy
A:
$-\cos(x)$
B:
$\cos(x)$
C:
${\rm{cose}}{{\rm{c}}}\left( x \right)$
D:
$-{\rm{cose}}{{\rm{c}}}\left( x \right)$
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$\frac{d(0)}{dx}=$
Difficulty: Easy
A:
Zero
B:
Constant
C:
Infinite
D:
None of these
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Which of the following mathematician gave the notation $D \space f(x)$ for the derivative?
Difficulty: Easy
A:
Euler
B:
Newton
C:
Lagrange
D:
Cauchy
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Differentiate $\sin(2x)$ with respect to x
Difficulty: Easy
A:
$2\cos(2x)$
B:
$2\sin(2x)$
C:
$2\left(1-\sin^{2}(x)\right)$
D:
Both A and C
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For which of the following intervals is the function $y=x^{2}-6x+5$ increasing?
Difficulty: Easy
A:
$x>5$
B:
$x>3$
C:
$x<1$
D:
$1
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Differentiate $\ln (e)$ with respect to $x$
Difficulty: Easy
A:
$\frac{1}{e}$
B:
$0$
C:
$\frac{1}{x}$
D:
$e$
What is the derivative of $\tan(\sqrt x)$
Difficulty: Easy
A:
$\sec^{2}(\sqrt x)$
B:
$\frac{1}{\sqrt{2}} \sec^{2}(\sqrt x)$
C:
$\frac{1}{2\sqrt{x}} \sec^{2}(\sqrt x)$
D:
$ \sec^{2}(\sqrt x) \tan \left(\frac{1}{2\sqrt x} \right)$
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Derivative of ${\rm{cose}}{{\rm{c}}^{ - 1}}\left( x \right)$ is
Difficulty: Easy
A:
$ - \frac{1}{{|x|\sqrt {{x^2} - 1} }}$
B:
$ - \frac{1}{{|x|\sqrt {{x^2} + 1} }}$
C:
$ \frac{1}{{|x|\sqrt {{x^2} - 1} }}$
D:
$ - \frac{1}{{\sqrt {{x^2} - 1} }}$
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The derivative of $f(x)$ with respect to $x$ is defined as
Difficulty: Easy
A:
The rate of change of $f(x)$ with respect to $x$
B:
The increase in the relevance rate of $f(x)$ with respect to $x$
C:
The decrease in the relevance rate of $f(x)$ with respect to $x$
D:
None of these
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Find the derivative of $3^{2x}$
Difficulty: Easy
A:
$2\ln \left( 3 \right) \times {3^{2x}}$
B:
$\ln \left( 3 \right) \times {3^{2x}}$
C:
$\ln \left( 2 \right) \times {3^{2x}}$
D:
$2x \times {3^{2x}}$
View Solution Steps

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