Differentiation
Math ⇒ Calculus
Differentiation starts at 11 and continues till grade 12.
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See sample questions for grade 12
Differentiate f(x) = 1/(x2 + 1).
Differentiate f(x) = cos(x).
Differentiate f(x) = ln(3x).
Differentiate f(x) = ln(x) with respect to x.
Differentiate f(x) = x2sin(x).
Find the derivative of f(x) = (x2 + 1)/(x + 1).
Find the derivative of f(x) = 5x3 - 4x + 7.
Find the derivative of f(x) = e2x.
Find the derivative of f(x) = x2ex.
If f(x) = 1/x, what is f′(x)?
If f(x) = x2 and g(x) = x + 1, find the derivative of f(g(x)).
If f(x) = x2g(x), what rule should be used to differentiate f(x)?
If f(x) = x3 - 6x2 + 9x + 1, find the x-coordinate(s) where the slope of the tangent is zero.
If f(x) = x3 + 2x, what is the value of f′(2)?
If f(x) = xn, where n is a real number, what is f′(x)?
State the quotient rule for differentiation.
What is the derivative of f(x) = 3x2 + 2x + 1 with respect to x?
