Differentiate y=x^2 from first principles
y=x2dy/dx= Limh-->0( ((x+h)2-x2) / (x+h-x) )dy/dx= Limh-->0( (x2 + 2hx + h2 - x2) / h )dy/dx= Limh-->0( (h2 + 2hx) / h )dy/dx= Limh-->0( h + 2x )dy/dx= Limh-->0( h ) + 2xdy/dx= 2x
DC
Related Maths A Level answers
All answers ▸Find the gradient of the exponential curve y(x)=(9e^(7x))/(12e^(2x)) at x=2/5
The points A and B have coordinates (3, 4) and (7, 6) respectively. The straight line l passes through A and is perpendicular to AB. Find an equation for l, giving your answer in the form ax + by + c = 0, where a, b and c are integers.
I'm confused about differentiation and integration, could you explain these to me?
Find the general solution, in degrees, of the equation 2 sin(3x+45°)= 1