بارہویں جماعت · ریاضی · 9 سوالات
نام: ____________________ تاریخ: ____________
The derivative of x⁴ is:
The derivative of sin x is:
The derivative of e^x is:
The derivative of ln x is:
If y = x² sin x, then dy/dx is:
The function f(x) = x² - 4x has a minimum at x equal to:
The derivative of a constant is:
The derivative of cos x is:
The derivative of x² + 3x + 5 is:
1. C, 2. C, 3. D, 4. B, 5. D, 6. C, 7. D, 8. B, 9. C
Power rule: n x^(n-1).
d/dx(sin x) = cos x.
e^x is its own derivative.
d/dx(ln x) = 1/x.
Product rule: (2x)(sin x) + (x²)(cos x).
f'(x) = 2x - 4 = 0 gives x = 2, and f'' = 2 is positive.
A constant does not change.
d/dx cos x = -sin x.
Differentiate each term.