Advertisements
Advertisements
Question
Differentiate the following with respect to x.
ex (x + log x)
Sum
Advertisements
Solution
Let y = ex (x + log x)
`"dy"/"dx" = e^x "d"/"dx" (x + log x) + (x + log x) "d"/"dx" (e^x)`
`= e^x (1 + 1/x) + (x + log x)e^x`
`= e^x [1 + 1/x + x + log x]`
shaalaa.com
Differentiation Techniques
Is there an error in this question or solution?
Chapter 5: Differential Calculus - Exercise 5.5 [Page 118]
APPEARS IN
RELATED QUESTIONS
Differentiate the following with respect to x.
3x4 – 2x3 + x + 8
Differentiate the following with respect to x.
x3 ex
Differentiate the following with respect to x.
`e^x/(1 + x)`
Differentiate the following with respect to x.
x sin x
Differentiate the following with respect to x.
sin x cos x
Differentiate the following with respect to x.
sin(x2)
Differentiate sin3x with respect to cos3x.
Find y2 for the following function:
y = e3x+2
If = a cos mx + b sin mx, then show that y2 + m2y = 0.
If xy2 = 1, then prove that `2 "dy"/"dx" + y^3`= 0
