मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता ११

Choose the correct alternative: The differential coefficient of log10x with respect to logx10 is - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

The differential coefficient of `log_10 x` with respect to `log_x 10` is

पर्याय

  • 1

  • `- (log_10 x)^2`

  • `(log_x 10)^2`

  • `x^2/100`

MCQ

उत्तर

`- (log_10 x)^2`

shaalaa.com
Differentiation Rules
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [पृष्ठ १७८]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 13 | पृष्ठ १७८

संबंधित प्रश्‍न

Find the derivatives of the following functions with respect to corresponding independent variables:

g(t) = 4 sec t + tan t


Find the derivatives of the following functions with respect to corresponding independent variables:

y = cosec x . cot x


Find the derivatives of the following functions with respect to corresponding independent variables:

y = e-x . log x


Differentiate the following:
y = (x2 + 4x + 6)5


Differentiate the following:
y = cos (a3 + x3)


Differentiate the following:

y = `x"e"^(-x^2)`


Differentiate the following:

f(x) = `x/sqrt(7 - 3x)`


Differentiate the following:

y = `(sin^2x)/cos x`


Differentiate the following:

y = `5^((-1)/x)`


Differentiate the following:
y = `sqrt(1 + 2tanx)`


Differentiate the following:
y = sin2(cos kx)


Differentiate the following:

y = `sin^-1 ((1 - x^2)/(1 + x^2))`


Find the derivatives of the following:

`x^2/"a"^2 + y^2/"b"^2` = 1


Find the derivatives of the following:
tan (x + y) + tan (x – y) = x


Find the derivatives of the following:

If cos(xy) = x, show that `(-(1 + ysin(xy)))/(xsiny)`


Find the derivatives of the following:

If y = sin–1x then find y”


Find the derivatives of the following:

If sin y = x sin(a + y), the prove that `("d"y)/("d"x) = (sin^2("a" + y))/sin"a"`, a ≠ nπ


Find the derivatives of the following:

If y = `(cos^-1 x)^2`, prove that `(1 - x^2) ("d"^2y)/("d"x)^2 - x ("d"y)/("d"x) - 2` = 0. Hence find y2 when x = 0


Choose the correct alternative:

If y = `1/4 u^4`, u = `2/3 x^3 + 5`, then `("d"y)/("d"x)` is 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×