Question #9409e
2 Answers
Explanation:
#"differentiate using "color(blue)"standard derivatives"#
#•color(white)(x)d/dx(secx)=secxtanx#
#•color(white)(x)d/dx(cscx)=-cscxcotx#
#rArrd/dx(4secx-2cscx)#
#=4secxtanx-2(-cscxcotx)#
#=4secxtanx+2cscxcotx#
Explanation:
We have your original question
Thankfully, this question isn't too bad, since the only operation between the x values is subtraction. All we really need to know for this question is
and
So we can simplify your original question to
Since there are constants, we can take those out.
Finally, we can substitute what we found earlier to get the following:
And since there's a -2 being multiplied to -csc(x), the subtractions cancel out to get your final answer.