Advertisements
Advertisements
प्रश्न
If f” (x) = 12x – 6 and f(1) = 30, f’(1) = 5, find f(x)
उत्तर
f'(x) = – 6x + c
f'(x) = 6x2 – 6x + c
But f'(1) = 5
6(1)2 – 6(1) + c = 5
c = 5
f”(x) = 6x2 – 6x + 5
`int f"''"(x) "d"x = int(6x^2 - 6x + 5) "d"x`
f(x) = `(6x^3)/3 - (6x^2)/2 + 5x + "c"`
f(x) = 2x3 – 3x2 + 5x + c
But f(1) = 30
2(1)3 – 3(1)2 + 5(1) + c = 30
2 – 3 + 5 + c = 30
c = 26
f(x) = 2x3 – 3x2 + 5x + 26
APPEARS IN
संबंधित प्रश्न
If f'(x) = 4x – 5 and f(2) = 1, find f(x)
If f'(x) = 9x2 – 6x and f(0) = – 3 find f(x)
A ball is thrown vertically upward from the ground with an initial velocity of 39.2 m/sec. If the only force considered is that attributed to the acceleration due to gravity, find how long will it take for the ball to strike the ground?
A ball is thrown vertically upward from the ground with an initial velocity of 39.2 m/sec. If the only force considered is that attributed to the acceleration due to gravity, find the speed with which will it strike the ground?
A ball is thrown vertically upward from the ground with an initial velocity of 39.2 m/sec. If the only force considered is that attributed to the acceleration due to gravity, find how high the ball will rise?
A wound is healing in such a way that t days since Sunday the area of the wound has been decreasing at a rate of `- 6/("t" + 2)^2` cm2 per day where 0 < t ≤ 8. If on Monday the area of the wound was 1.4 cm2. What was the area of the wound on Sunday?
A wound is healing in such a way that t days since Sunday the area of the wound has been decreasing at a rate of `-6/("t" + 2)^2` cm2 per day where 0 < t ≤ 8. If on Monday the area of the wound was 1.4 cm2. What is the anticipated area of the wound on Thursday if it continues to heal at the same rate?
Choose the correct alternative:
`int (sin^2x - cos^8x)/(1 - 2sin^x cosx) "d"x` is
