TS EAMCET Differentiation Rules — practice questions
25 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAMCET Differentiation Rules in the app →Which method is most convenient for differentiating y = x^x?If f(x) = x^3, then the second derivative f''(x) isA point where the second derivative changes sign is calledAt a stationary point, f'(c) = 0 and f''(c) < 0. Then f hasThe curve of f(x) = x^3 - 6x^2 + 5 has its inflection point at x =In Leibniz notation, the second derivative of y with respect to x is writtenFor the parabola y^2 = 4ax, the slope dy/dx at a point (x, y) isThe derivative of log base 10 of x isBy the chain rule, d/dx of f(g(x)) equalsThe reciprocal rule gives the derivative of 1/f(x) asTaking logarithms converts a product of functions into aTaking ln of a quotient u/v turns the division intoThe expression f'/f, equal to the derivative of ln f, is called theThe limit of [f(x+h) - 2f(x) + f(x-h)]/h^2 as h tends to 0 is called theThe best quadratic approximation of f near x = a is itsThe symmetric matrix of second partial derivatives of a function is theThe Laplacian of a function equals the divergence of itsDifferentiating 5x^3 twice givesIf x = a cos t and y = a sin t, then dy/dx equalsFor f(x) = x^3 - 3x, the derivative f'(x) is zero atWhich of these functions has no derivative at x = 0?If f''(x) = 0 for every real x, then f(x) must beFor the position s = t^3 - 6t^2, the acceleration at t = 2 isA particle has position s = t^3 + 2t. Its velocity at t = 1 isHow many times must x^5 be differentiated to reach a nonzero constant?