What is the derivative of #arctan(x/3)#?
2 Answers
Explanation:
#"differentiate using the "color(blue)"chain rule"#
#•color(white)(x)d/dx(arctan(f(x)))=1/(1+(f(x))^2)xxf'(x)#
#rArrd/dx(arctan(x/3))#
#=1/(1+x^2/9)xxd/dx(1/3x)#
#=1/(3(1+x^2/9))=1/(3+x^2/3)#
If you haven't memorized the drivative of
Explanation:
Diiferentiate implicitly.
Use
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