AP EAPCET (Engineering) Differentiation Rules — practice questions
32 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice AP EAPCET (Engineering) Differentiation Rules in the app →What is d/dx of the inverse cosine, cos^-1 x?Find the slope of the curve y = x^3 at the point where x = 2.At which x is the tangent to y = x^2 horizontal?How fast does a circle's area change per unit increase in radius r?What is the rate of change of a sphere's volume with respect to its radius r?A cube of side x has surface area 6x^2. What is its rate of change with respect to x?A particle moves with s = t^3 - 2t. What is its velocity at t = 2?A stone falls so that s = 5t^2. What is its constant acceleration?Which statement about continuity and differentiability is correct?The derivative of f at c is defined as which limit?If f = v(t) and t = u(x), what is df/dx by the chain rule?If x = a cos(theta) and y = a sin(theta), what is dy/dx?In x = f(t), y = g(t), what is the variable t called?The second order derivative d^2y/dx^2 is the derivative of what?Logarithmic differentiation suits functions of which form?For logarithmic differentiation of [u(x)]^v(x), u(x) must be what?Taking logarithms of y = x^x gives which expression?If y = x^x, what is dy/dx at x = 1?Find d/dx ln(sin x) where sin x > 0.The product rule gives (fg)' equal to what?By the reciprocal rule, what is the derivative of 1/f?If dy/dx = 4 at a point on an invertible curve, what is dx/dy there?If g is the inverse of f, what is g'(y)?The derivative of a function at a point gives what geometric quantity?Differentiate x ln x for x > 0.Find d/dx (e^x / x) for x not equal to 0.Find d/dx (2^(3x)).For f(x) = x^a with a nonzero constant, what is f'(x)?Where is f(x) = |x - 1| not differentiable?Find d/dx (sin x cos x).What is d/dx (x^2 + 1)^5 at x = 0?If y = e^x, what is the nth derivative of y?