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Class 11
Maths :-NCERT Solutions - Limits And Derivatives.

Page No 317:
Question 1:
Find the derivative of the following functions from first principle:
(i) –x (ii) (–x)–1 (iii) sin (x + 1)
(iv) 


Answer:

(i) Let f(x) = –x. Accordingly,

By first principle,

(ii) Let. Accordingly,

By first principle,

(iii) Let f(x) = sin (x + 1). Accordingly,

By first principle,

(iv) Let. Accordingly,

By first principle,


NCERT Maths Class 11

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