In finding the Linear Approximation for the function f(x) = 4 sin(x^5), select the correct answer(s) below. There may be multiple correct answers.
A. The derivative is 20 x^4 cos(x^5).
B. In finding the derivative the first rule used would be the power rule.
C. The linear approximation to the function at a fixed point gives a very accurate approximation to the function for all points in the domain.
D. This function is differentiable everywhere from negative infinity to positive infinity.
E. Use the derivative to find the slope for the linear approximation and the function to find the point for the linear approximation.
F. Because this function is differentiable for every point in its domain, then it is also continuous for all points in its domain.
G. In finding the derivative one would use the chain rule, constant multiplier rule, and power rule as well as others.
what I have selected as correct are A, C, E, & G. Am I on the right track?
A. The derivative is 20 x^4 cos(x^5).
B. In finding the derivative the first rule used would be the power rule.
C. The linear approximation to the function at a fixed point gives a very accurate approximation to the function for all points in the domain.
D. This function is differentiable everywhere from negative infinity to positive infinity.
E. Use the derivative to find the slope for the linear approximation and the function to find the point for the linear approximation.
F. Because this function is differentiable for every point in its domain, then it is also continuous for all points in its domain.
G. In finding the derivative one would use the chain rule, constant multiplier rule, and power rule as well as others.
what I have selected as correct are A, C, E, & G. Am I on the right track?