Advertisements
Advertisements
प्रश्न
If f(x) = | cos x |, then `f((3π)/4)` is ______.
पर्याय
1
– 1
`(-1)/sqrt(2)`
`1/sqrt(2)`
Advertisements
उत्तर
If f(x) = | cos x |, then `f((3π)/4)` is `underlinebb(1/sqrt(2))`.
Explanation:
f(x) = | cos x |
`\implies f((3π)/4) = |cos (3π)/4|`
= `|cos(π - π/4)|`
= `|- cos π/4|`
= `|-1/sqrt(2)|`
= `1/sqrt(2)`
APPEARS IN
संबंधित प्रश्न
Differentiate the function with respect to x.
sin (x2 + 5)
Differentiate the function with respect to x.
`sec(tan (sqrtx))`
Differentiate the function with respect to x.
cos x3 . sin2 (x5)
Differentiate the function with respect to x.
`cos (sqrtx)`
If (x – a)2 + (y – b)2 = c2, for some c > 0, prove that `[1+ (dy/dx)^2]^(3/2)/((d^2y)/dx^2)` is a constant independent of a and b.
Does there exist a function which is continuos everywhere but not differentiable at exactly two points? Justify your answer?
If y = `[(f(x), g(x), h(x)),(l, m,n),(a,b,c)]`, prove that `dy/dx = |(f'(x), g'(x), h'(x)),(l,m, n),(a,b,c)|`.
If sin y = xsin(a + y) prove that `(dy)/(dx) = sin^2(a + y)/sin a`
Let f(x) = x|x|, for all x ∈ R. Discuss the derivability of f(x) at x = 0
Differential coefficient of sec (tan–1x) w.r.t. x is ______.
If u = `sin^-1 ((2x)/(1 + x^2))` and v = `tan^-1 ((2x)/(1 - x^2))`, then `"du"/"dv"` is ______.
Show that the function f(x) = |sin x + cos x| is continuous at x = π.
`cos(tan sqrt(x + 1))`
(x + 1)2(x + 2)3(x + 3)4
`tan^-1 (sqrt((1 - cosx)/(1 + cosx))), - pi/4 < x < pi/4`
If y = `sqrt(sinx + y)`, then `"dy"/"dx"` is equal to ______.
If `y = (x + sqrt(1 + x^2))^n`, then `(1 + x^2) (d^2y)/(dx^2) + x (dy)/(dx)` is
Let c, k ∈ R. If f(x) = (c + 1)x2 + (1 – c2)x + 2k and f(x + y) = f(x) + f(y) – xy, for all x, y ∈ R, then the value of |2(f(1) + f(2) + f(3) + ... + f(20))| is equal to ______.
Let S = {t ∈ R : f(x) = |x – π| (e|x| – 1)sin |x| is not differentiable at t}. Then the set S is equal to ______.
The set of all points where the function f(x) = x + |x| is differentiable, is ______.
Which expression defines the derivative of a real function \[f\] at a point \[c\] in its domain?
If \[u\] and \[v\] are differentiable functions, what is \[(uv)'\]?
Which limit is the right-hand derivative at \[x=c\]?
What is the practical condition for differentiability at a point?
Which conclusion establishes that \[f\] is continuous at \[x=c\]?
For \[f(x)=|x|\], what is the left-hand derivative at \[x=0\]?
