Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
If f(x) = `{{:(2"a" - x, "for" - "a" < x < "a"),(3x - 2"a", "for" x ≥ "a"):}` , then which one of the following is true?
विकल्प
f(x) is not differentiable at x = a
f(x) is discontinuous at x = a
f(x) is continuous for all x in R
f(x) is differentiable for all x ≥ a
Advertisements
उत्तर
f(x) is not differentiable at x = a
APPEARS IN
संबंधित प्रश्न
Find the derivatives of the following functions with respect to corresponding independent variables:
y = `tan x/x`
Differentiate the following:
y = tan 3x
Differentiate the following:
F(x) = (x3 + 4x)7
Differentiate the following:
y = e–mx
Differentiate the following:
y = `x"e"^(-x^2)`
Differentiate the following:
y = tan (cos x)
Differentiate the following:
y = `5^((-1)/x)`
Differentiate the following:
y = sin3x + cos3x
Differentiate the following:
y = `sqrt(x +sqrt(x)`
Find the derivatives of the following:
y = `x^(cosx)`
Find the derivatives of the following:
y = `x^(logx) + (logx)^x`
Find the derivatives of the following:
`sqrt(x) = "e"^((x - y))`
Find the derivatives of the following:
`x^2/"a"^2 + y^2/"b"^2` = 1
Find the derivatives of the following:
If cos(xy) = x, show that `(-(1 + ysin(xy)))/(xsiny)`
Find the derivatives of the following:
`cos[2tan^-1 sqrt((1 - x)/(1 + x))]`
Find the derivatives of the following:
`tan^-1 ((cos x + sin x)/(cos x - sin x))`
Find the derivatives of the following:
If u = `tan^-1 (sqrt(1 + x^2) - 1)/x` and v = `tan^-1 x`, find `("d"u)/("d"v)`
Choose the correct alternative:
If y = cos (sin x2), then `("d"y)/("d"x)` at x = `sqrt(pi/2)` is
Choose the correct alternative:
If f(x) = `{{:(x - 5, "if" x ≤ 1),(4x^2 - 9, "if" 1 < x < 2),(3x + 4, "if" x ≥ 2):}` , then the right hand derivative of f(x) at x = 2 is
