Chapter 4.1, Problem 56E

Sub: BASIC CALCULUS DETERMINE THE DERIVATIVE OF THE FOLLOWING FUNCTIONS

You are given the following function. 10t G(t) = t + 7 (a) Find the derivative of the function using the definition of derivative. G '(t) = (b) Select the domain of the function. O (-∞, -7] U [7, 0) O [-7, 7] O (-7, 7) O (∞, -7) U (-7, 0) (c) Select the domain of its derivative. O (-0∞, -7] U [7, ) O (7, 7) O [-7, 7] O (-0, -7) U (-7, ∞) OR

1. Find the natural domain and the derivative of the given function. (a) 3x² +7x + 5, (b) (3x +1)5, c) x . (d) In(4x + 2) (e) x· cos x