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 Block of mass 2kg is on an a smooth inclined plane where sin@ = 3/5 at point A. Point B is 5 meters down the incline. Find the time it will take for the block to reach point given it is at rest at point A.
How to find the reciprocal of a graph, such as y=cos(x)?
Find the binomial expansion of (-8+4x)^(2/3) up to and including the term in x^2.
Solve integral [3x^2 (x^3 + 1)^6] dx