Given that y = x^2 +2x + 3, find dy/dx.
We use a typical rule for polynomials in the form y = axb , where a and b are real numbers. Also, for a polynomial equation y = axb +cxd +.... , dy/dx = d( axb)/dx + d(cxd)/dx + ...With this information, we can differentiate y = x2 +2x + 3 :dy/dx = d(x2)/dx + d(2x)/dx + d(3)/dx = 2x1 + 2x0 + 0x-1 = 2x + 2.
JC
Related Maths A Level answers
All answers ▸b) The tangent to C at P meets the coordinate axes at the points Q and R. Show that the area of the triangle OQR, where O is the origin, is 9/(3-e)
What is the smallest possible value of the integral ∫(x-a)^2 dx between 0 and 1 as a varies?
Find the area of the region, R, bounded by the curve y=x^(-2/3), the line x = 1 and the x axis . In addition, find the volume of revolution of this region when rotated 2 pi radians around the x axis.
Use logarithms to solve the equation 2^5x = 3^2x+1 , giving the answer correct to 3 significant figures.