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Direction: Read the following text and answer the following questions on the basis of the same:
A potter made a mud vessel, where the shape of the pot is based on f(x) = x – 3 + x – 2, where f(x) represents the height of the pot.
If the potter is trying to make a pot using the function f(x) = [x], will he get a pot or not? Why?
Direction: Read the following text and answer the following questions on the basis of the same:
A potter made a mud vessel, where the shape of the pot is based on f(x) = x – 3 + x – 2, where f(x) represents the height of the pot.
Will the slope vary with x value?
Direction: Read the following text and answer the following questions on the basis of the same:
A potter made a mud vessel, where the shape of the pot is based on f(x) = x – 3 + x – 2, where f(x) represents the height of the pot.
When the value of x lies between (2, 3) then the function is
Direction: Read the following text and answer the following questions on the basis of the same:
A potter made a mud vessel, where the shape of the pot is based on f(x) = x – 3 + x – 2, where f(x) represents the height of the pot.
When x > 4 what will be the height in terms of x?
When x > 4, f(x) = 2x – 5
Direction: Read the following text and answer the following questions on the basis of the same:
A potter made a mud vessel, where the shape of the pot is based on f(x) = x – 3 + x – 2, where f(x) represents the height of the pot.
What is dy/dx at x = 3
Direction: Read the following text and answer the following questions on the basis of the same:
Ms. Remka of city school is teaching chain rule to her students with the help of a flowchart
The chain rule says that if h and g are functions and f(x) = g(h(x)), then
Let f(x) = sin x and g(x) = x^{3}
d/dx (sin2x) at x = π/2 is ____.
= 2(1)
= 2
Direction: Read the following text and answer the following questions on the basis of the same:
Ms. Remka of city school is teaching chain rule to her students with the help of a flowchart
The chain rule says that if h and g are functions and f(x) = g(h(x)), then
Let f(x) = sin x and g(x) = x^{3}
gof(x) = _______.
= g(f(x))
= g(sin x)
= sin^{3} x
Direction: Read the following text and answer the following questions on the basis of the same:
Ms. Remka of city school is teaching chain rule to her students with the help of a flowchart
The chain rule says that if h and g are functions and f(x) = g(h(x)), then
Let f(x) = sin x and g(x) = x^{3}
d/dx sin x^{3} _______.
= 3x^{2} cosx^{3}
Direction: Read the following text and answer the following questions on the basis of the same:
Ms. Remka of city school is teaching chain rule to her students with the help of a flowchart
The chain rule says that if h and g are functions and f(x) = g(h(x)), then
Let f(x) = sin x and g(x) = x^{3}
fog(x) = _______.
= f(g(x))
= f(x^{3})
= sin (x^{3})
Direction: Read the following text and answer the following questions on the basis of the same:
Ms. Remka of city school is teaching chain rule to her students with the help of a flowchart
The chain rule says that if h and g are functions and f(x) = g(h(x)), then
Let f(x) = sin x and g(x) = x^{3}
d/dx (sin^{3} x) = _______.
= 3 sin^{2} x cos x
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