Q1
The derivative of $\cos x$ is:
📝 Solution$\frac{d}{dx}(\cos x) = -\sin x$.
Q2
The derivative of $\ln x$ is:
📝 Solution$\frac{d}{dx}(\ln x) = \frac{1}{x}$.
Q3
If a function is differentiable at a point, then at that point it is also:
📝 SolutionDifferentiability implies continuity: if a function is differentiable at a point, it must be continuous there.
Q4
The chain rule is used to differentiate:
📝 SolutionThe chain rule differentiates composite functions like $f(g(x))$: $\frac{d}{dx}f(g(x)) = f'(g(x))\cdot g'(x)$.
Q5
The derivative of $x^2$ is:
📝 SolutionUsing the power rule, $\frac{d}{dx}(x^2) = 2x$.
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Class 12 · Maths
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