English
Tamil Nadu Board of Secondary EducationHSC Science Class 11

Differentiate the following:y = eexcosx

Advertisements
Advertisements

Question

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

Sum
Advertisements

Solution

y = `"e"^(xcosx)`

`("d"y)/("d"x) = "e"^(xcosx) (x - sinx + cosx * 1)`

`("d"y)/("d"x) = "e"^(xcosx) (cos x - x sin x)`

shaalaa.com
Differentiation Rules
  Is there an error in this question or solution?
Chapter 10: Differential Calculus - Differentiability and Methods of Differentiation - Exercise 10.3 [Page 164]

APPEARS IN

Samacheer Kalvi Mathematics - Volume 1 and 2 [English] Class 11 TN Board
Chapter 10 Differential Calculus - Differentiability and Methods of Differentiation
Exercise 10.3 | Q 27 | Page 164

RELATED QUESTIONS

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

y = sin x + cos 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 = tan θ (sin θ + cos θ)


Differentiate the following:
y = tan 3x


Differentiate the following:

f(t) = `root(3)(1 + tan "t")`


Differentiate the following:

s(t) = `root(4)(("t"^3 + 1)/("t"^3 - 1)`


Differentiate the following:

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


Differentiate the following:
y = sin3x + cos3x


Differentiate the following:

y = `"e"^(3x)/(1 + "e"^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:
xy = yx


Find the derivatives of the following:

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


Find the derivatives of the following:

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


Find the derivatives of the following:

`tan^-1sqrt((1 - cos x)/(1 + cos x)` 


Find the derivatives of the following:

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


Find the derivatives of the following:

x = a (cos t + t sin t); y = a (sin t – t cos t)


Find the derivatives of the following:

x = `(1 - "t"^2)/(1 + "t"^2)`, y = `(2"t")/(1 + "t"^2)`


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×