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Derivative and integral

Please choose the correct answer:

Q#20)

True or False: if f(x) = ln(9 + x) then f '(x) = 1/(9 + x)

True
False

Q#18.
b b c c
Given that ∫ x^2 dx = 5, ∫ x^5 dx = 3, ∫ x^2 dx = 7/2, and ∫ x^5 dx = 4/3,
a a b b
a
then ∫ ( 3x^5- 2x^2 ) dx =
c

- 41/6
- 4
- 2
2
4
41/6
none of these

Solution Preview

Q#20)

True or False: if f(x) = ln(9 + x) then f '(x) = 1/(9 + x)

True
False

The answer is TRUE, as we can find the derivative by chain rule as follows.
f'(x)=1/(9+x)* (9+x)'
=1/(9+x)*1
=1/(9+x)

Q#18.
...

Solution Summary

This provides an example of derivative with natural log and integration.

$2.19