TS EAMCET Derivative — practice questions
32 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAMCET Derivative in the app →The derivative of the constant function f(x) = 9 isFind d/dx of the square root of x, for x > 0.Find d/dx [sin(3x)].Find d/dx (log to base 10 of x), for x > 0.What is the second derivative of sin x?Find the velocity at t = 2 for a body whose position is s = t^3 - 6t.For s = t^3 - 6t, what is d^2s/dt^2 when t = 2?In Newton's dot notation, a dot placed over a symbol denotesGeometrically, the derivative f'(a) gives theThe derivative is often described as the instantaneousRepeatedly differentiating a function producesWhen taking a partial derivative, the other variables areThe Jacobian matrix of a multivariable function is built from itsLogarithmic differentiation helps to turn products intoThe mean value theorem for f(x) = x^2 on [1, 3] holds at c equal toRolle's theorem for f(x) = x^2 - 4x + 3 on [1, 3] gives c equal toIf a function f is differentiable at x = a, then f isThe function f(x) = |x| at x = 0 isThe Weierstrass function is continuous everywhere andThe product rule states that (uv)' equalsThe quotient rule gives (u/v)' equal toFor a function g that is never zero, d/dx (1/g) equalsFind d/dx [ln(sin x)] where sin x > 0.The derivative of x^3 - 3x vanishes at x equal toThe stationary points of 2x^3 - 9x^2 + 12x occur at x equal toIf f'(x) > 0 throughout an interval, then f on that interval isAt a critical point where f''(x) > 0, the function has a localThe area of a circle is A = pi r^2. At r = 5, dA/dr equalsA sphere has volume V = (4/3) pi r^3. At r = 2, dV/dr equalsA cube's edge grows at 2 cm/s. Its volume grows at what rate when the edge is 3 cm?Find d/dx of x^(3/2).The derivative of the hyperbolic sine, sinh x, is