Fill in the blanks with the correct answers. Write your answer on a separate sheet of paper. 1. The derivative of a constant'is . 2. The derivative of the nth power of a variable is the product of and the ._________, power of the variable. 3. The derivative of a sum of a nite number of differentiable functions is a sum of the derivatives, and the derivative of the equals the difference of the derivatives. 4. The derivative of a product of two functions is the first function times the of the second plus the second function times the derivative of the first. 5. The derivative of a of two functions is the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator divided by the denominator squared. 6. Expressions written in form can be converted to logarithmic function and vice versa. 7. Derivative of Logarithmic Function: d i 3(0551) - 3- The most widely used trigonometric functions in modern mathematics are the the and the . Their reciprocals are the cosecant, the secant, and the cotangent, respectively. 9. D,(secx) = 10.0;(C0tx) =