In working with the function, -2(x^2 - 4)^4x^3 select the correct answers below. There may be multiple correct answers.
A. From the mean value theorem for the function on the interval [0,1] the value for c is approximately 0.79.
B. The derivative gives exactly 3 critical points with one of them occurring at x = 1.
C. The derivative is 16(1 - x^2)(x^2 - 4)^2.
D. In finding the derivative one would use the product rule, constant multiplier rule, and power rule as well as others.
E. the function is defined, continuous and differentiable for all real numbers.
F. There are 5 points of inflection with one of the occurring at x = 2.
G. The derivative is negative on the interval (0,1).
I have selected C, D, F, G. Am I on the right track?
A. From the mean value theorem for the function on the interval [0,1] the value for c is approximately 0.79.
B. The derivative gives exactly 3 critical points with one of them occurring at x = 1.
C. The derivative is 16(1 - x^2)(x^2 - 4)^2.
D. In finding the derivative one would use the product rule, constant multiplier rule, and power rule as well as others.
E. the function is defined, continuous and differentiable for all real numbers.
F. There are 5 points of inflection with one of the occurring at x = 2.
G. The derivative is negative on the interval (0,1).
I have selected C, D, F, G. Am I on the right track?