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.)

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Grade 11Differential Calculus

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

Kush Raval

7 Years agoGrade 11

2 Answers

Arun

Approved Tutor Answer7 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

7 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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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.)

Kush Raval

2 Answers

Arun

Pintu Chaudhary

Other Related Questions on differential calculus

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

Find dy/DX when y=x^sinx+sin-1√x.

Please give me the solution of this problem.

Example 20. (i) In a AABC, find the maxima and minima of u = sin A sin B sin C
where A + B + C = T
(ii) In a plane triangle ABC, find the maximum value of cosA cosB cosC.