We are given y=(x^2)+3x-5. Find the derivative of y in terms of x.
From the question we have, y=x2+3x-5
The rule of differentiation, is that you take the power on the x and bring it to the front, leaving the power-1 behind. In other words if you have xn then the derivative is (n)xn-1
The question asks for the derivative of y in terms of x so we are calculating dy/dx
Using the rule of differentiation we get,dy/dx= [(2)x2-1]+[(31)x1-1]-[(50)x0-1]dy/dx=2x+3
MB
Related Maths A Level answers
All answers ▸find the integral of y=x^2 +sin^2(x) with respect to x between the limits 0 and pi
A curve is defined by the parametric equations x = 3 - 4t, and y = 1 + 2/t. Find dy/dx in terms of t.
How do you use factor theorem to show an algebraic term is a factor of a polynomial?
What is the gradient of the function y=x^3 at the point x=1?