Differentiate the equation y = x^2 + 3x + 1 with respect to x.
A simple way to differentiate an equation with respect to x is to reduce each x components power by one and multiply each x component by their original power.
Looking at the equation y = x^2 + 3x + 1, the component x^2 will be reduced from a power of 2 to a power of 1 and multiplied by its original power 2 to give 2x. The component 3x is reduced from a power of 1 to a power of zero and multiplied by its original power of 1 to give 3. As 1 is a constant and not an x component it dissapears in the differentiated eqution.
This therefore gives an answer of dy/dx = 2x + 3.
JB
Related Maths A Level answers
All answers ▸A cup of coffee is cooling down in a room following the equation x = 15 + 70e^(-t/40). Find the rate at which the temperature is decreasing when the coffee cools to 60°C.
Find the tangent and normal to the curve y=(4-x)(x+2) at the point (2, 8)
5Sin[x]-4=2Cos[2x]
C and D are two events such that P(C) = 0.2, P(D) = 0.6 and P(C|D) = 0.3. Find P(D|C), P(C’ ∩ D’) & P(C’ ∩ D)