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 ▸Do y=3x^2+5x+12 and y=3x-8 intercept with each other? If yes, at which point(s)?
The line PQ is the diameter of a circle, where points P and Q have the coordinates (4,7) and (-8,3) respectively. Find the equation of the circle.
if f(x) = 7x-1 and g(x) = 4/(x-2), solve fg(x) = x
X=4x^2 + 5x^7 - sin(3x) find dy/dx