Find f'(x) and f''(x) when f(x) = 3x^2 +7x - 3

We know that when f(x) = x^n, f'(x) = nx^n-1       (1)

So we apply this to all components of f(x), giving 

f'(x) = 2(3x) + 7 = 6x +7

to find f''(x), we apply (1) to f'(x). Giving

f''(x) = 6                                                                 

 

GP

Related Maths A Level answers

All answers ▸

The equation x^2+ kx + 8 = k has no real solutions for x. Show that k satisfies k^2 + 4k < 32.


How do I do integration by substitution?


The points A and B have coordinates (3, 4) and (7, 6) respectively. The straight line l passes through A and is perpendicular to AB. Find an equation for l, giving your answer in the form ax + by + c = 0, where a, b and c are integers.


Given an integral of a function parametrized with respect to an integer index n, prove a given recursive identity and use this to evaluate the integral for a specific value of n.