Highest order derivative is dx3d3y, so order m=3. Multiplying through by dx3d3y to clear the fraction yields a polynomial equation in derivatives, where the highest power of dx3d3y becomes 2. Hence degree n=2.
If the function f(x)=x4−62x2+ax+9 attains its local maximum value at x=1, then a is equal to :
Held on 30 May 2023 · Verified 13 Jul 2026.
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The derivative of x³ + 2x² - 5x + 1 is:
In which of the following interval the function $f(x) = x^x, x > 0$ is strictly increasing?
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Work through every CUET UG Calculus PYQ, year by year.