Question

Derivative of f(x)= (tanx-5)/secx

can someone show me a step by step

Answer 1

what have you tried step by step so far?

Answer 2

i assume your confusing yourself with the quotient rule

Answer 3

product rule is always much easier to work with

Answer 4

f(x)= (tanx-5)/secx
= (tanx-5) * (secx)^-1
= (tanx-5) * (cosx)

and derive

Answer 5

\[D[r_1r_2r_3...r_n]=r_1'r_2r_3...r_n+r_1r_2'r_3...r_n+...+r_1r_2r_3...r_n'\]

Answer 6

I'm just confused with the alegbra/ trig after using the quotient rule

Answer 7

I dont see how you are suppose to get secx-sinx(-5+tanx)

Answer 8

(tanx-5) * (cosx) => sec^2(x) cos(x) + (tan(x)-5)(-sin(x))

=> sec(x) - tan(x)sin(x) -5sin(x)

Answer 9

dont use the quotient rule; it just adds to much extra confusion that is not needed

Answer 10

makes way more sense >> lol