Cheat Sheet Derivative Rules - What is the derivative of cos(x)sin(x) ? Constant out \left (a\cdot f\right)^'=a\cdot f^'. Where c and n are just numbers. Use the product rule for finding the derivative of a product of functions. We know (from the table above): Sum difference rule \left (f\pm g\right)^'=f^'\pm g^'. Where x is a variable. Use the quotient rule for finding the derivative of a quotient of functions. The derivative of fg = f g’ + f’ g. When you have a function that contains two variables (x and y).
Use the product rule for finding the derivative of a product of functions. When you have a function that contains two variables (x and y). Ddx cos(x) = −sin(x) ddx sin(x) = cos(x) so: What is the derivative of cos(x)sin(x) ? Constant out \left (a\cdot f\right)^'=a\cdot f^'. We know (from the table above): The derivative of fg = f g’ + f’ g. Web this sheet lists and explains many of the rules used (in calculus 1) to take the derivative of many types of functions. State the constant, constant multiple, and power rules. Use the quotient rule for finding the derivative of a quotient of functions. Where c and n are just numbers. Apply the sum and difference rules to combine derivatives. Where x is a variable. Sum difference rule \left (f\pm g\right)^'=f^'\pm g^'. The derivative of cos(x)sin(x) = cos(x)cos(x) − sin(x)sin(x) = cos 2 (x) − sin 2 (x) Product rule (f\cdot g)^'=f^'\cdot g+f\cdot g^'.