Differentiate 5x^2 - 7x +9

The general rule for differentiation is multiply by the power and decrease the power by one.
So if we take each term individually starting with 5x^2, and multiply by the power giving 10 then reduce the power by one hence 10x. Similarly for the next term, multiply by 1 and then reduce the power giving -7. When differentiating a constant term, as x is to the power of zero, when you multiply it by the power it will be zero. Thus leaving us with the answer of 10x-7

RG

Related Maths Scottish Highers answers

All answers ▸

Given f(x) = (x^(2)+(3*x)+1)/(x^(2)+(5*x)+8), find f'(x) and simplify your answer.


Show that (𝑥 − 1) is a factor of 𝑓(𝑥)=2𝑥^3 + 𝑥^2 − 8𝑥+ 5. Hence fully factorise 𝑓(𝑥) fully.


a) Factorise: 2x^2-72, and hence b) find the y-intercept of the line with the equation: y=(2x^2-72)/(4x-24)


Show that the two vectors A= 2i+3j-k and B=3i-j+3k are perpendicular