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Derivatives of Inverse Trig Functions : Now, we will look at the derivatives of the inverse trig functions. To derive the derivatives of inverse trig functions we'll required the formula from the last section associating the derivatives of inverse functions. If f(x) & g(x) are inverse functions then,
g′ ( x ) = 1/ f ′ ( g ( x ))
Recall again as well that two functions are inverses if f ( g ( x )) = x & g (f ( x )) = x .
We'll go through inverse cosine, inverse sine, and inverse tangent in detail here
The logarithm of a provided number b to the base 'a' is the exponent showing the power to which the base 'a' have to be raised to get the number b. This number is defined as log a
prove:
Explain the Vertex Formula ? The vertex formula is a convenient way of finding the vertex of the graph for any quadratic function. The graph of the quadratic equation f(x) = ax
Infinite limits : Let's now move onto the definition of infinite limits. Here are the two definitions which we have to cover both possibilities, limits which are positive infinity
Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 86 feet. a) Set up an equation for the perimeter involving on
Vector Function The good way to get an idea of what a vector function is and what its graph act like is to look at an instance. Thus, consider the following vector function.
Let A be an n×n matrix. Then Show that the set U = {u?R^n : Au = -3un} is a Subspace of R^n
The sum of areas of two squares is 468m 2 If the difference of their perimeters is 24cm, find the sides of the two squares. Ans: Let the side of the larger square be x .
Let G be a group acting on a set X. The action is called faithful if for any g ≠ 1 ∈ G there exists an x ∈ X such that gx ≠ x. That is, only the identity fi xes everything. Prov
Hierarchical Structures : As the abstractions from concrete objects and materials become more and more general, they represent wider and wider ideas. If we put down each step of
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