What is the derivative of (4secxtanx)?

a. 4(sec(x)^2 * tan(x) + sec(x)^3)

b. 4(sec(x) * tan(x)^2 + sec(x)^3)

c. 4(sec(x)^2 * tan(x) - sec(x)^3)

d. 4(cot(x)^2 * tan(x) + 4sec(x)^2 * tan(x)

e. 4cot(x)^2 * tan(x) + 4sec(x)^2

i have been trying to do this question for a while now and keep getting an answer of 4sec(x) * tan(x)^2 + 4sec(x)^3 by the product rule. i can't see how any of the answers in a-e are equivalent. is my answer wrong?

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality