Indian Navy 10+2 B.Tech Cadet Application of Derivatives — practice questions
6 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice Indian Navy 10+2 B.Tech Cadet Application of Derivatives in the app →$y = x^3 - 6x^2 + x + 3$. The tangent is parallel to the line $y = x + 5$ at points where $x$ equals:Slope of normal line to y = f(x) at x = a (if f'(a) ≠ 0):Approximation by differentials: Δy ≈ f'(x) Δx. Using this, sqrt(25.5) is approximately:Maximum area of a rectangle inscribed in a semicircle of radius R (base on diameter):Find minimum value of f(x) = (sin x)² + (cos x)² + 2 (sin x)(cos x):Find the rate at which the surface area of a balloon (sphere) is changing when radius is 10 cm and dr/dt = 0.1