f(x) = x^3 - 13x^2 + 55x - 75 , find the gradient of the tangent at x=3

f(x) = yy= x3 - 13x2 + 55x - 751) find f'(x) [=dy/dx] Differentiation is (1) multiplying the coefficient by the original power --> 2) reducing the original power by 1dy/dx = 3x2 - 26x + 55
2) find f'(3).f'(3) = 3(3)2 - 26(3) + 55f'(3) = 27 - 78 +55f'(3) = 4Tangent ~ y= [4]x +c

KO
Answered by Kiitan O. Maths tutor

3459 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Find, using calculus, the x coordinate of the turning point of the curve with equation y=e^3x cos 4


Find ∫ ( 2x^4 - 4x^(-0.5) + 3 ) dx


How to differentiate tan(x)?


Find the turning points of the curve y = x^3 +5x^2 -6x +4


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning