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Q. (a) Differentiate w.r.t x : (i) cos -1 (e x ) (ii) log 7 (log x ) (b) Differentiate cos x w.r.t. e x . (c)(Refer to the picture below.)

Q. (a) Differentiate w.r.t x:
        (i) cos-1(ex)
        (ii) log7(log x)
    (b) Differentiate cos x w.r.t. ex.
    (c)(Refer to the picture below.)

Grade:11

2 Answers

Arun
25750 Points
4 years ago
Dear student
 
Please ask only one question in one thread.
 
(a) (i)
 dy/dx = – e^x/ sqrt (1 – e^2x) 
 
Hope it helps
Pintu Chaudhary
37 Points
4 years ago
Dear friend for question no (c)
         y=logx
      \frac{\partial^2 y}{\partial x^2}   = \frac{\partial }{\partial x}\left ( \frac{\partial y}{\partial x} \right )
                 = \frac{\partial }{\partial x}\left ( \frac{\partial \left ( logx\right )}{\partial x} \right )
                  = \frac{\partial }{\partial x}\left ( \frac{1}{x} \right )
 
                   = – 1/x2  Answer. 
Please ask questions one by one. Hope it may help you. thanks
 

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