If f(x) is an even function, where f(x) ≠ 0, then which one of the following is correct?

f’(x) may be an even or odd function depending on the type of function

If f(x) is an even function, where f(x) ≠ 0, then which one of the f

1.	If f(x) is an even function, where f(x) ≠ 0, then which one of the following is correct?
A.	f’(x) is an even function
B.	f’(x) is an odd function
C.	f’(x) may be an even or odd function depending on the type of function
D.	f’(x) is a constant function
Answer» C. f’(x) may be an even or odd function depending on the type of function

Discussion

No Comment Found

Related MCQs

If \({\rm{y}} = {\sec ^{ - 1}}\left( {\frac{{{\rm{x}} + 1}}{{{\rm{x}} - 1}}} \right) + {\sin ^{ - 1}}\left( {\frac{{{\rm{x}} - 1}}{{{\rm{x}} + 1}}} \right)\), then \(\frac{{{\rm{dy}}}}{{{\rm{dx}}}}\) is equal to
Let \({\rm{f}}\left( {{\rm{x}},{\rm{y}}} \right) = \frac{{{\rm{a}}{{\rm{x}}^2} + {\rm{b}}{{\rm{y}}^2}}}{{{\rm{xy}}}}\), where a and b are constants. If \(\frac{{\partial {\rm{f}}}}{{\partial {\rm{x}}}} = \frac{{\partial {\rm{f}}}}{{\partial {\rm{y}}}}{\rm{\;}}\) at x = 1 and y = 2, then the relation between a and b is
If \(f\left( x \right) = \frac{{{x^3}}}{3} - \frac{{5{x^2}}}{2} + 6x + 7\) increases in the interval T and decreases in the interval S, then which one of the following is correct?
Find the differentiation of \({\cos ^{ - 1}}x\)
If v = yz î + 3zx ĵ + z k̂, then curl v is
Change the order of integration in\(\mathop{\int }_{0}^{a}\mathop{\int }_{y}^{a}\frac{x}{{{x}^{2}}+{{y}^{2}}}dx~dy\)
Each of four particles move along an x-axis. Their coordinates (in meters) as functions of time (in seconds) are given by1) particle 1: x (t) = 3.5 – 2.7 t32) particle 2: x (t) = 3.5 + 2.7 t33) particle 3: x (t) = 3.5 – 2.7 t24) particle 4: x (t) = 3.5 – 3.4t - 2.7 t2Which of these particles have constant acceleration?
Differentiate {-log (log x), x > 1} with respect to x
A function f(x) = 1 - x2 + x3 is defined in the closed interval [-1, 1]. The value of x, in the open interval (-1, 1) for which the mean value theorem is satisfied, is
If \(u = \log \left( {\frac{{{x^2} + {y^2}}}{{x + y}}} \right)\) then \(x\frac{{\partial u}}{{\partial x}} + y\frac{{\partial u}}{{\partial x}}\) is equal to –

If f(x) is an even function, where f(x) ≠ 0, then which one of the following is correct?

Discussion

No Comment Found

Related MCQs

Reply to Comment