# Tutor profile: Angele P.

## Questions

### Subject: Calculus

Find the derivative of the following expression: f(x)=2x^2+6x+4

The answer would be f'(x)=4x+6 When taking a derivative you first multiply the exponent by the coefficient and then subtract one from the exponent. In the case of (2x^2) this would be (2*2)x^(2-1) resulting in 4x. For the second term (6x) you would do 6*1x(1-1) resulting in 6. The third term does not have an x so it will automatically be 0.

### Subject: English

In the following sentence pick the best option to replace the part of the sentence enclosed in parenthesis. My sister was an enthusiastic (reader, she still is:) and every free moment she has she picks up a book. A: No change B: reader and she still is C: reader-she still is-

Through process of elimination the correct response is C. Answer choice A is incorrect because the fragment requires another colon because "she still is" must be enclosed in the same punctuation mark on each side. Answer choice B is incorrect because it would create a run on sentence.

### Subject: Algebra

Write an equation for a line with an intercept y= (-2) and a slope of 4.

The general equation of a line is y=mx+b where b is the y-intercept and m is the slope of the line. In this equation m=4 and b= -2 therefore the answer to this problem would be y=4x-2