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.
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.
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