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EXERCISE 8 A Q. 40
Q.40) If f(x) = x^k and f’(1) = 10 the value of k is

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f(x) = x^k
Diff.w.r.t.x we get,
f'(x) = k . x^k-1
f'(1) = k . 1^k-1 (1)
and f’(1) = 10 (2)
from (1) and (2)we get
k = 10.
Answer : (a)