Home › AP EAMCET › Mathematics › Differentiation Rules › Holding y fixed, the partial derivative of f(x, …
Holding y fixed, the partial derivative of f(x, y) = x^2 y in x is
Ax^2 y
B2x
Cx^2
D2xy
Answer & Solution
Correct answer: D. 2xy
With y held constant, x^2 gives 2x, so the result is 2xy.
Related questions
Near a point, the derivative supplies which kind of approximation of the function?For f(x) = 2x^3 - 5x + 1, the slope at x = 1 isRewriting 1/x^2 as x^(-2), its derivative becomesFor positive x, the product x^3 ln x has slope functionThe curve y = x e^x has slope at the origin equal toSquaring the sine, y = sin^2 x, gives a slope function equal toThe common logarithm y = log10 x, for x > 0, has slope functionA bell-type curve y = e^(x^2) changes with x at the rate