In finding the derivative for the function, 5 ((x^3+4)^(-5)) 2^(3x) select the correct answers below. There may be multiple correct answers.
A. By using algebra one could rewrite the function so that the first step in finding the derivative would be a quotient rule.
B. In finding the derivative one would use the chain rule, and exponential rule as well as others.
C. This is a continuous function throughout.
D. In finding the derivative the first rule used would be the power rule.
E. This function is differentiable everywhere from negative infinity to positive infinity.
F. In finding the derivative one would use the product rule, constant multiplier rule, and power rule as well as others.
G. The derivative is -75x^2(x^3+4)^(-6) 2^(3x) + 15(x^3+4)^(-5)2^(3x)Ln(2).
I have selected B, D, F, & G. Am I on the right track? Thanks.
A. By using algebra one could rewrite the function so that the first step in finding the derivative would be a quotient rule.
B. In finding the derivative one would use the chain rule, and exponential rule as well as others.
C. This is a continuous function throughout.
D. In finding the derivative the first rule used would be the power rule.
E. This function is differentiable everywhere from negative infinity to positive infinity.
F. In finding the derivative one would use the product rule, constant multiplier rule, and power rule as well as others.
G. The derivative is -75x^2(x^3+4)^(-6) 2^(3x) + 15(x^3+4)^(-5)2^(3x)Ln(2).
I have selected B, D, F, & G. Am I on the right track? Thanks.