Download in
Google Play
3
Share
Save
Sign up
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Sign up
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Sketching the gradient 02 October 2020 13:18 Example 1: gradient decreasing. (is negitan +ve Example 2: tue 1 1 (-2,0) -3,0) (gradient is negitave) dy (gradiat) d₂ (-3,4) (-3,0) -ve (3,5) dx (1,-3) tve (₁,0) at sp dy = 0 dx (3,0) tve Differentiation 2 Page 1 This is a cubic graph (x³ turm) after x = 3, gradient. is decreasing (negitave) 1 04 dx = 0 dx -ve (61,-3) PTO 1 (3,0) (16.0) -v( Question: Sketch the derived graph of f(x) = (x - 2)² x x +vc tve Sketch the derived graph (graph of what happens to the gradient). AI X • at Sp's dy 0 roots of the dx gradient curve • look at the gradient either side. Of the JPJ function decreasing =) gradient -ve => below x Sketch the derived graph. axis 'function increasing => gradient tve =) above x axis. positive above x axis. negitave below x axis f(x) -ve (2,0) TV V tvc 1(210) -vc f'(x) ant 1 x f(x)=(x-2)² just y=x² (normal symetrical graph) but moved right 2. quadratic - linear !
iOS User
Stefan S, iOS User
SuSSan, iOS User
notes for higher maths on how to sketch the gradient
337
NOTES
481
Math notes on some topics for year 12 pure maths
0
polynomials and quadratics, integration, the cric and compound angles
5
This is your last moment higher maths booklet notes you can rely on. IT WILL HELP!
0
straight line, recurrence relations, functions and graphs, radians and differentiation
11
Key points OCRMEI ALevel maths
Sketching the gradient 02 October 2020 13:18 Example 1: gradient decreasing. (is negitan +ve Example 2: tue 1 1 (-2,0) -3,0) (gradient is negitave) dy (gradiat) d₂ (-3,4) (-3,0) -ve (3,5) dx (1,-3) tve (₁,0) at sp dy = 0 dx (3,0) tve Differentiation 2 Page 1 This is a cubic graph (x³ turm) after x = 3, gradient. is decreasing (negitave) 1 04 dx = 0 dx -ve (61,-3) PTO 1 (3,0) (16.0) -v( Question: Sketch the derived graph of f(x) = (x - 2)² x x +vc tve Sketch the derived graph (graph of what happens to the gradient). AI X • at Sp's dy 0 roots of the dx gradient curve • look at the gradient either side. Of the JPJ function decreasing =) gradient -ve => below x Sketch the derived graph. axis 'function increasing => gradient tve =) above x axis. positive above x axis. negitave below x axis f(x) -ve (2,0) TV V tvc 1(210) -vc f'(x) ant 1 x f(x)=(x-2)² just y=x² (normal symetrical graph) but moved right 2. quadratic - linear !
Sketching the gradient 02 October 2020 13:18 Example 1: gradient decreasing. (is negitan +ve Example 2: tue 1 1 (-2,0) -3,0) (gradient is negitave) dy (gradiat) d₂ (-3,4) (-3,0) -ve (3,5) dx (1,-3) tve (₁,0) at sp dy = 0 dx (3,0) tve Differentiation 2 Page 1 This is a cubic graph (x³ turm) after x = 3, gradient. is decreasing (negitave) 1 04 dx = 0 dx -ve (61,-3) PTO 1 (3,0) (16.0) -v( Question: Sketch the derived graph of f(x) = (x - 2)² x x +vc tve Sketch the derived graph (graph of what happens to the gradient). AI X • at Sp's dy 0 roots of the dx gradient curve • look at the gradient either side. Of the JPJ function decreasing =) gradient -ve => below x Sketch the derived graph. axis 'function increasing => gradient tve =) above x axis. positive above x axis. negitave below x axis f(x) -ve (2,0) TV V tvc 1(210) -vc f'(x) ant 1 x f(x)=(x-2)² just y=x² (normal symetrical graph) but moved right 2. quadratic - linear !
iOS User
Stefan S, iOS User
SuSSan, iOS User