मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

Choose the correct alternative: If f(x) = xx+1, then its differential is given by

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

If f(x) = `x/(x + 1)`, then its differential is given by

पर्याय

  • `- x/(x + 1)^2  "d"x`

  • `x/(x + 1)^2  "d"x`

  • `x/(x + 1)  "d"x`

  • `- x/(x + 1)  "d"x`

MCQ
Advertisements

उत्तर

`x/(x + 1)^2  "d"x`

shaalaa.com
Linear Approximation and Differentials
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 8: Differentials and Partial Derivatives - Exercise 8.8 [पृष्ठ ८८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 8 Differentials and Partial Derivatives
Exercise 8.8 | Q 11 | पृष्ठ ८८

संबंधित प्रश्‍न

Let f(x) = `root(3)(x)`. Find the linear approximation at x = 27. Use the linear approximation to approximate `root(3)(27.2)`


Use the linear approximation to find approximate values of `root(4)(15)`


Find a linear approximation for the following functions at the indicated points.

f(x) = x3 – 5x + 12, x0 = 2


The radius of a circular plate is measured as 12.65 cm instead of the actual length 12.5 cm. find the following in calculating the area of the circular plate:

Percentage error


The time T, taken for a complete oscillation of a single pendulum with length l, is given by the equation T = `2pi sqrt(l/g)` where g is a constant. Find the approximate percentage error in the calculated value of T corresponding to an error of 2 percent in the value of l


Find the differential dy for the following functions:

y = `(1 - 2x)^3/(3 - 4x)`


Find the differential dy for the following functions:

y = `(3 + sin(2x))^(2/3)`


Find the differential dy for the following functions:

y = `"e"^(x^2 - 5x + 7) cos(x^2 - 1)`


Find Δf and df for the function f for the indicated values of x, Δx and compare:

f(x) = x3 – 2x2, x = 2, Δx = dx = 0.5


The trunk of a tree has a diameter of 30 cm. During the following year, the circumference grew 6 cm. Approximately how much did the tree diameter grow?


The trunk of a tree has a diameter of 30 cm. During the following year, the circumference grew 6 cm. What is the percentage increase in the area of the cross-section of the tree?


The relation between the number of words y a person learns in x hours is given by y = `sqrt(x), 0 ≤ x ≤ 9`. What is the approximate number of words learned when x changes from 4 to 4.1 hours?


Choose the correct alternative:

If u(x, y) = `"e"^(x^2 + y^2)`, then `(delu)/(delx)` is equal to


Choose the correct alternative:

The change in the surface area S = 6x2 of a cube when the edge length varies from x0 to x0 + dx is


Choose the correct alternative:

The approximate change in volume V of a cube of side x meters caused by increasing the side by 1% is


Choose the correct alternative:

Linear approximation for g(x) = cos x at x = `pi/2` is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×