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

can someone show me a step by step

Question

Derivative of f(x)= (tanx-5)/secx

can someone show me a step by step

amistre64 · Answer

what have you tried step by step so far?

amistre64 · Answer

i assume your confusing yourself with the quotient rule

amistre64 · Answer

product rule is always much easier to work with

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

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

anonymous · Answer

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

amistre64 · Answer

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

amistre64 · Answer

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

anonymous · Answer

makes way more sense >> lol