Differentiate the following: 5x^3 + 4x^2 + 3x + 2

dy/dx = 15x^2 + 8x + 3

Differentiation was often a question my peers struggled with at gcse and although not necessairly a dominating topic of the syllabus, I found it is an easy way to pick up marks if understood properly. 

To arrive at the answer, there are 4 steps: 1) multiply the 5 by the indicie (3) and then subtract one from the indicie. 2) Same principle, multiply the 4 by 2, then subtract one from the 2. 3) As there is no indicie, just take the figure in front of the x. 4) as there is no x term, we remove it altogether.

CG

Related Maths GCSE answers

All answers ▸

ln(2x^2 +9x-5) =1+ ln( x^2+2x-15)


The line l is a tangent to the circle x^2 + y^2 = 40 at the point A. A is the point (2, 6). The line l crosses the x-axis at the point P. Work out the area of triangle OAP.


What is the gradient of the line passing through the point (1,2) and (5,5)? What is the equation of this line? What is the equation of the line perpendicular to this line that passes through the origin (0,0)?


How do you find the tangent of an angle in a right-angled triangle?