how to draw derivative graphs





Derivation
The figure shows an object AB at a distance u from the pole of a concave mirror. The image A 1 B 1 is formed at a distance v from the mirror. The position of the image is obtained by drawing a ray diagram. Consider the D A 1 CB 1 and D ACB [when two angles of D A 1 CB 1 and D ACB are equa..
Sketch the graph shown. Also draw its inverse.
Sketch the graph shown. Also draw its inverse. => Graph 1 or Graph 2 or Graph 3..
Application of Derivatives Summary
x = a is called a point of inflexion. Rolle's theorem: If a function f(x) is such that (i) f (x) is continuous on [a,b] (ii) f (x) is differentiable on (a,b) and (iii) f (a) = f (b) Geometrical interpretation of Rolle's theorem Let AB be the graph of y = f(x) such that A = (a , f(a)) and ..
v-t Graph
The acceleration produced in a body.The distance covered by a moving object.We can derive the equations of motio..
Graph of y = sin x
Graph of y = sin x - Now let us construct the graph of y = sinx from x = 0 o to 360 o . The following table is readily constructed for intervals of 30 o . Plotting the points and drawing a smooth curve through them we have the curve as shown in figur..
Polar Graph, Rules of Symmetry
If in the polar equation, (r, θ) can be substituted by (r, - θ) or (- r, π - θ) , then graph is symmetric with respect to polar axis. If polar equation, (r, θ) is substituted by (- r, θ) or (r, π + θ) , the graph is symmetric with ..
Velocity-Time Graph
non uniform acceleration >Consider any two points A and B on the straight-line graph. Draw perpendiculars from A and B to x and y-axes. Join A to C, ACB forms a right-angled triangle. Calculations Write the title and scale chosen for the graph. Let us now see the nature of the v - t graph for ..
Velocity-Time Graph
perpendicular drawn to axes in velocity time graph Draw perpendiculars from A and B to x and y-axes. Calculatio..
Draw the graph of the inequality x≤ 5.
Draw the graph of the inequality x ≤ 5...
The Sample Space (S) derived from drawing 2 students from a group of 2..
The Sample Space (S) derived from drawing 2 students from a group of 2 Boys B 1 , B 2 and 3 Girls G 1 , G 2 , G 3 is: => { B 1 B 2 , G 1 G 2 , G 1 G 3 , G 2 G 3 } or { B 1 B 2 , B 1 G 1 , B 1 G 2 , B 1 G 3 , B 2 G 1 , B 2 G 2 , B 2 G 3 , G 1 G 2 , G 1 G 3 , G 2 G 3 } or { B 1 G ..
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