Engineering Mat...

The minimum and maximum values of x⁴ – 5x² + 4 on the interval [2, 3] are

For the function f(x) = x³ – 10x² + 6, the linear approximation around x = 3 is

If \(f'\left( x \right) = \frac{1}{{1 + x}}\;and\;f\left( 0 \right) = 5\), then the maximum value of f(1) in the interval 0 ≤ x ≤ 1 using Lagrange's mean value theorem is _____.

In the Taylor series expansion of ln x about x = 1, the coefficient of (x - 1)⁴ is

Find the sum of minimum and the maximum value of the function

f(x) = 2x³ – 9x² + 12x + 6 on the interval [2, 3].

Find the value of ‘c’ lying between a = 0 and b = ½ in the Mean Value Theorem for the function f(x) = x(x - 1)(x - 2)

A point on the parabola \(y = {\left( {x - 3} \right)^2}\), where the tangent is parallel to the chord joining A(3, 0) and B(4, 1) is