CA Foundation Exam > CA Foundation Questions > If f(x) = xk and f’(1) = 10 the value o...
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If f(x) = xk and f’(1) = 10 the value of k is
- a)10
- b)–10
- c)1/10
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If f(x) = xk and f’(1) = 10 the value of k isa)10b)–10c)1/...
Solution:
Given, f(x) = xk and f(1) = 10
To find: Value of k
Approach:
We know that f(1) = 1k = 1, as any number to the power of 0 is always 1.
Therefore, f(1) = 1k = 10
So, k = log₁₀10
Using log₁₀10 = 1, we get k = 1.
Therefore, the value of k is 10.
Final Answer: Option A (10)
Given, f(x) = xk and f(1) = 10
To find: Value of k
Approach:
We know that f(1) = 1k = 1, as any number to the power of 0 is always 1.
Therefore, f(1) = 1k = 10
So, k = log₁₀10
Using log₁₀10 = 1, we get k = 1.
Therefore, the value of k is 10.
Final Answer: Option A (10)
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Community Answer
If f(x) = xk and f’(1) = 10 the value of k isa)10b)–10c)1/...
If it is x^k then
f(x) = x^k
f'(x) = kx^(k-1)
f'(1)=10
which means x=1
10=k(1)^(k-1)
10=k ( as whatever may be the power of 1 , it will be one only)
if it is kx
f(x)=kx
f'(x)=k
f'(1)=10
so, k= 10
f(x) = x^k
f'(x) = kx^(k-1)
f'(1)=10
which means x=1
10=k(1)^(k-1)
10=k ( as whatever may be the power of 1 , it will be one only)
if it is kx
f(x)=kx
f'(x)=k
f'(1)=10
so, k= 10
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If f(x) = xk and f’(1) = 10 the value of k isa)10b)–10c)1/10d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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