Differentiation
Math ⇒ Calculus
Differentiation starts at 11 and continues till grade 12.
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See sample questions for grade 11
Differentiate f(x) = ex with respect to x.
Differentiate y = (3x + 2)4 with respect to x.
Differentiate y = 5x-3 with respect to x.
Differentiate y = ln(2x) with respect to x.
Differentiate y = tan(x) with respect to x.
Differentiate y = x sin(x) with respect to x.
If f(x) = 1/(x + 1), what is f'(x)?
If f(x) = 2x3 and g(x) = x2, find d/dx [f(x)g(x)].
If f(x) = ln(x), what is f'(x)?
If f(x) = x2 + 2x, find the equation of the normal to the curve at x = 1.
If f(x) = x2 + 3x, what is f''(x)?
If f(x) = x2 + 5, what is the slope of the tangent to the curve at x = 2?
If f(x) = x2 and g(x) = x + 1, find d/dx [f(g(x))].
If f(x) = x3 - 3x2 + 2x, find the value of x where the slope of the tangent is zero.
If y = 1/x, what is dy/dx?
If y = 2x2 + 3x + 4, find the equation of the tangent at x = 1.
If y = sin(x) cos(x), find dy/dx.
If y = x2ex, find dy/dx.
If y = x4 - 2x2 + 7, find dy/dx at x = 1.
If y = x5, what is dy/dx?
