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Example:
Define The graph of the function is as follows: f(x) is increasing, because Since 2 - 1 < 3 - 1 (ii) f is said to strictly increasing in the interval I if For example..
Define The graph of the function is as follows: f(x) is increasing, because Since 2 - 1 < 3 - 1 (ii) f is said to strictly increasing in the interval I if For example..Example:
Find the approximate value of fourth root of 82 upto 3 decimal place..
Example:
Find the intervals on which the function (a) increasing (b) decreasing Differentiating the function, we have The critical values in ascending order are -1, 1. We divide the Real numbers into the intervals = - ve Since f '(x) < 0, the function is decreasing in the interval ..
Find the intervals on which the function (a) increasing (b) decreasing Differentiating the function, we have The critical values in ascending order are -1, 1. We divide the Real numbers into the intervals = - ve Since f '(x) < 0, the function is decreasing in the interval ..Example:
Find the local maxima or local minima, if any, for the following function using first derivative test f (x) = x 3 - 6x 2 + 9x +..
Example:
A balloon which always remain spherical is being inflated by pumping in 900 cubic centimetres of gas per second. Final the rate at which the radius of the balloon increasing when the radius is 15cm. Let r and V be the variables for radius and volume of the balloon respectively. We have to find ..
A balloon which always remain spherical is being inflated by pumping in 900 cubic centimetres of gas per second. Final the rate at which the radius of the balloon increasing when the radius is 15cm. Let r and V be the variables for radius and volume of the balloon respectively. We have to find ..Example:
Find the equation of the tangent to the curve which is parallel to the line 4x - 2y + 5 = ..
Find the equation of the tangent to the curve which is parallel to the line 4x - 2y + 5 = ..Example:
Integrate the following definite as limit of sums..
Integrate the following definite as limit of sums..Example:
Evaluate the definite integral of the followin..
Evaluate the definite integral of the followin..Example:
Consider the function f (x) = x 2 + Ax + B Clearly (x) is a solution of the differential equation. y''= 2, because if the second derivative of f (x) gives 2. That is y = x 2 + Ax + B is a general solution of the differential equation. y'' = 2 Each value of A and each value of B (A, B R) giv..
Consider the function f (x) = x 2 + Ax + B Clearly (x) is a solution of the differential equation. y''= 2, because if the second derivative of f (x) gives 2. That is y = x 2 + Ax + B is a general solution of the differential equation. y'' = 2 Each value of A and each value of B (A, B R) giv..Example:
Solve the differential equatio..
Solve the differential equatio..See what our Users say :
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