Application of DerivativeHard
Question
If g(x) is a curve which is obtained by the reflection of f(x) =
by the line y = x then
Options
A.g(x) has more than one tangent parallel to x-axis
B.g(x) has more than one tangent parallel to y-axis
C.y = - x is a tangent to g(x) at (0, 0)
D.g(x) has no extremum
Solution
f′(x) =
> 0
∴ f(x) increasing
hence g(x) is also increasing function
∴ f(x) increasing
hence g(x) is also increasing function
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
The approximate change in the volume of a cube of side x meters caused by increasing the side by 4% is...The normal to the curve, x2 + 2xy - 3y2 = 0, at (1, 1)...The rate of change of the volume of a cone with respect to the radius of its base is-...The curve y-exy + x = 0 has a vertical tangent at -...The volume of metal in a hollow sphere is constant. If the inner radius is increasing at the rate of 1 cm/sec, then the ...