Obtain derivatives of the following
functions:
(i) x sin x
(ii) x4+cos x
(iii) x/sin x
Attachments:
Answers
Answered by
49
using multiply rule of derivative
(i)
x‐‐‐i
sinx‐‐- ii
= xcosx +sinx
(ii)x4+cosx
x4-------I
cosx------ii
using addition rule of derivative
derivative of 4x is 4
and cosx is -sinx
then derivative of x4+ cosx is
4–sinx
iii) x/ sinx
using quotient rule x is I
and sinx is ii
sinx–x(–cosx)
sin²x
sinx+xcosx
sin²x
sinx + xcosx
sin²x sin²x
1/sinx+xcosx/sin²x
it may help you
you can understand it easily
Answered by
0
Solution:-
ii) Using d/dx [f1(x)+f2 (x)] = df1(x)/d(x) + df2(x)/dx
For f1 (x)=x⁴ and f2 (x)= cosx
d/dx(x⁴+cosx)=d(x⁴)/d+d(cosx)/dx = 4x³- sinx
Similar questions