tan 7 applied calculus

Put x = a tan q dx = a sec 2 q d q = log |sec q + tan q | + C 1 ..

Let y = tan - 1 x. Then tan y = x. Differentiating both sides w.r.t. x, we get ..

A first - order first - degree differential equation is of the form If the function f turns out to be of the form f(x, y) = p(x) q(y) .(2) (i.e., the product of a function of x with a function of y, then the differential equation (1) is said to have the variable x, y separable.) In this case the..

Differential calculus can be considered as mathematics of motion, growth and change where there is a motion, growth, change. Whenever there is variable forces producing acceleration, differential calculus is the right mathematics to apply..

Inverse functions are sin - 1 x, cos - 1 x, tan - 1 x etc. The graph of these functions have been done in class X..

Introduction - Let us began this chapter with the following statement: Often a physician may want to test how small changes in dosage can affect the body's response to a particular drug. An economist may want to study how investment changes with variation in interest rates. How the velocity of a he..

Application of Derivatives Animation..

For a particular Critical value x = a, find f " ' (a) (i) If f ''(a) < 0 then f (x) has a local maxima at x = a and f (a) is the maximum value. (ii) If f ''(a) > 0 then f (x) has a local minima at x = a and f (a) is the minimum value. (iii) If f ''(a) = 0 or , the test fails and the first d..

By integration y = tan - 1 x..

Put x = a sec q dx = a sec q tan q d q ..