Math- Geometry Please SOlve

Math- Geometry Please SOlve

Please Solve this, I am unable.

Please also solve this :

Let f(x), g(x) and h(x) be the functions from Problem A.1. Find the derivative λ0(x) of the following function with respect to x:

λ(x) = f(x) · g(x) + f(x) · h(x) − g(x) · h(x)

Note: here problem A.1 is the upper problem.

Please solve both the problem.​
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Re: Math- Geometry Please SOlve

f(x) and h(x) are linear functions- their graphs are straight lines and their derivatives are constants, the slopes of those lines. f is a straight line from (2, 0) to (4, 2). What is it slope (derivative)? h is a straight line from (8, 2) to (10, 4). What is it slope (derivative)?

g is the upper semi- circle with center at (6, 2) and radius 2. The equation of the entire circle would be $$(x- 6)^2+ (y- 2)^2= 4$$. $$(y- 2)^2= 2- (x- 6)^2$$ so the upper semis circle is given by $$y- 2= \sqrt{2- (x- 6)^2}$$ or $$y= 2+ (12x- x^2- 34)^{1/2}$$. What is the derivative of that?
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