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f(x) = x^3 + 3x^2 + 5. Find f''(x)

f''(x) means that we need to differentiate the function f(x) twice (f'(x) would mean we need to do it once). Differentiation means we multiply the coefficient by the power, and subtract one from the power. S...
FM
Answered by Felix M. • Maths tutor
4370 Views

Work out 2^3 + 4^2

When a number is raised to a power, that means the number is multiplied by itself. The power (the small number) shows how many times we need to multiply the big number by itself. Therefore: 2^3 can be split ...
FM
Answered by Felix M. • Maths tutor
4625 Views

The line l1 has equation y = −2x + 3. The line l2 is perpendicular to l1 and passes through the point (5, 6). (a) Find an equation for l2 in the form ax + by + c = 0, where a, b and c are integers.

The first thing to look at is l2 and l1 being perpendicular. This means the gradients of the two lines multiplied together = -1 . To determine the gradient a student could differentiate l1 but a slightly qui...
RP
Answered by Roman Paul M. • Maths tutor
17772 Views

I feel really nervous about time pressure in the exam, I don't think I'll finish

I used to struggle with this. The best way to get better at time management is to practice, practice, practice. A lot of exam practice isn't actually leanring the information, its exam technique. A few weeks...
LB
Answered by Laura B. • Maths tutor
4089 Views

Explain the difference between the domain and range of a function.

The domain is the set of values you can put in for x. And the range is the set of vaules you get out of the function. On a graph f(x) against x, the difference in x values shows the domain and the range of y...
CP
Answered by Charlotte P. • Maths tutor
5526 Views