Find dy/dx for f(x)=3x^2 +5x
This is a simple differentiation example of a polynomial, where one uses the the standard algorithm - i.e.[nx^n-1] Ina polynomial, one differentiates all parts separately. First Take 3x^2. Multiply by the power and take 1 from it. You get 6x. Same with 5x. Answer = 6x + 5.Whats the use for differentiation? Its to find the a formula for the gradient of the polynomial at any point x. So what you effectively did was create a general formula for finding the gradient m = (y2-y1)/(x2-x1).
MR
Related Maths A Level answers
All answers ▸y=e^2x-11e^x+24 Find the stationary point, nature of the stationary point, the x-intercepts and the y-intercept (calculator allowed)
Write 5cos(theta) – 2sin(theta) in the form Rcos(theta + alpha), where R and alpha are constants, R > 0 and 0 <=alpha < 2 π Give the exact value of R and give the value of alpha in radians to 3 decimal places.
(a) Express x +4x+7 in the form (x+ p) +q , where p and q are integers.
What is differentiation and how is it done?