English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Choose the correct alternative: ddeddx(ex+5logx) is - Mathematics

Advertisements
Advertisements

Question

Choose the correct alternative:

`"d"/("d"x) ("e"^(x + 5log x))` is

Options

  • `"e"^x * x^4 (x + 5)`

  • `"e"^x *x(x + 5)`

  • `"e"^x + 5/x`

  • `"e"^x - 5/x`

MCQ

Solution

`"e"^x * x^4 (x + 5)`

shaalaa.com
Differentiation Rules
  Is there an error in this question or solution?
Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.5 [Page 177]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.5 | Q 9 | Page 177

RELATED QUESTIONS

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

f(x) = x – 3 sin x


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

y = ex sin x


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

y = `sinx/x^2`


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

y = log10 x


Differentiate the following:

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


Differentiate the following:
y = tan (cos x)


Differentiate the following:
y = sin2(cos kx)


Differentiate the following:
y = `"e"^(xcosx)`


Find the derivatives of the following:
y = `x^(logx) + (logx)^x`


Find the derivatives of the following:
(cos x)log x


Find the derivatives of the following:

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


Find the derivatives of the following:

`tan^-1 = ((6x)/(1 - 9x^2))`


Find the derivatives of the following:

Find the derivative of `sin^-1 ((2x)/(1 + x^2))` with respect to `tan^-1 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)`


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


Choose the correct alternative:

`"d"/("d"x) (2/pi sin x^circ)` is


Choose the correct alternative:

If y = `1/("a" - z)`, then `("d"z)/("d"y)` is


Choose the correct alternative:

If f(x) = `{{:("a"x^2 - "b"",", - 1 < x < 1),(1/|x|",",  "elsewhere"):}` is differentiable at x = 1, then


Choose the correct alternative:

The number of points in R in which the function f(x) = |x – 1| + |x – 3| + sin x is not differentiable, is


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×