Trig Derivatives Cheat Sheet - Web derivatives of \text {tan}\phantom {\rule {0.1em} {0ex}}x,\text {cot}\phantom {\rule {0.1em} {0ex}}x,\text {sec}\phantom {\rule {0.1em} {0ex}}x, tanx, cotx, sec x, and \text {csc}\phantom {\rule {0.1em} {0ex}}x csc x. Here is a summary of what we’ve discovered. Sum difference rule \left (f\pm g\right)^'=f^'\pm g^' constant out \left (a\cdot f\right)^'=a\cdot f^' product rule (f\cdot g)^'=f^'\cdot g+f\cdot g^' Derivatives of trig functions dx h sin(x) i =cos(x) dx h tan(x) i =sec2(x) dx h sec(x) i =sec(x)tan(x) dx h cos(x) i =°sin(x) dx h cot(x) i =°csc2(x) dx h csc(x) i =°csc(x)cot(x) We begin with the derivatives of the sine and cosine functions and then use them to obtain formulas for the derivatives of the remaining four trigonometric functions. The derivatives of the remaining trigonometric functions are as follows: Web we now have derivative rules for all six trig functions, which was this chapter’s goal. Web in this section we expand our knowledge of derivative formulas to include derivatives of these and other trigonometric functions.
Web we now have derivative rules for all six trig functions, which was this chapter’s goal. Here is a summary of what we’ve discovered. The derivatives of the remaining trigonometric functions are as follows: Web in this section we expand our knowledge of derivative formulas to include derivatives of these and other trigonometric functions. Sum difference rule \left (f\pm g\right)^'=f^'\pm g^' constant out \left (a\cdot f\right)^'=a\cdot f^' product rule (f\cdot g)^'=f^'\cdot g+f\cdot g^' Derivatives of trig functions dx h sin(x) i =cos(x) dx h tan(x) i =sec2(x) dx h sec(x) i =sec(x)tan(x) dx h cos(x) i =°sin(x) dx h cot(x) i =°csc2(x) dx h csc(x) i =°csc(x)cot(x) Web derivatives of \text {tan}\phantom {\rule {0.1em} {0ex}}x,\text {cot}\phantom {\rule {0.1em} {0ex}}x,\text {sec}\phantom {\rule {0.1em} {0ex}}x, tanx, cotx, sec x, and \text {csc}\phantom {\rule {0.1em} {0ex}}x csc x. We begin with the derivatives of the sine and cosine functions and then use them to obtain formulas for the derivatives of the remaining four trigonometric functions.