Differentiate y = x^3− 5x^2 + 3x

the rule for differentiating in terms of x is to multiply by the power then decrease the power by one. So going through the equation x^3 will be multiplied by 3 and go to x^2 so will be 3x^2. Then its important to remember the signs of the terms so the next term is -5x^2 not 5x^2. this will be multiplied by 2 and the variable will go to x to give -10x. the same will happen to the last term to give 3 so the final equation is dy/dx=3x^2-10x+3.

GD

Related Maths A Level answers

All answers ▸

Solve the equation 3sin^2(x) + sin(x) + 8 = 9cos^2(x), -180<X<180. Then find smallest positive solution of 3sin^2(2O-30) + sin(2O-30) + 8 = 9cos^2(2O-30).


Given df/dx=2x+3 and the graph goes through (1,1), what is the function f?


The line y = (a^2)x and the curve y = x(b − x)^2, where 0<a<b , intersect at the origin O and at points P and Q. Find the coordinates of P and Q, where P<Q, and sketch the line and the curve on the same axes. Find the tangent at the point P.


How do you split a fraction into partial fractions?