Question

2. Calculate the following:
a. Derivative of the function, y = 3x+ + 6x² +7
b. Integral of the function, xº + 8​

Answer 1

Explanation:

a. let 6x² + 3x + 7 = y

dy/dx = d(6x²+3x+7)/dx

= d(6x²)/dx + d(3x)/dx + d(7)/dx

= 12x + 3

b. x⁰ + 8 = 8 .... (a⁰ = 1)

∫ 8 dx

= 8x + C ... ( ∫a dx = ax + C) integration of a constant.