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Level 1 - Calculus
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Limits
Derivatives
Derivative From First Principles
Differentiation Rules
Chain Rule
Implicit Differentiation
Higher Derivatives
Applications
Integrals
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Series
Several Variables
Differential Equations
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Questions
Question 1
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Differentiate \(f(x)=(2x+1)^5\).
Question 2
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Differentiate \(y=\sin(3x)\).
Question 3
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Differentiate \(f(x)=\sqrt{5x-2}\).
Question 4
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Differentiate \(f(x)=e^{x^2+1}\).
Question 5
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Differentiate \(f(x)=\ln(x^2+4)\).
Question 6
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Differentiate \(y=(x^3-2x)^4\).
Question 7
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Differentiate \(f(x)=\cos^2 x\), meaning \(f(x)=(\cos x)^2\).
Question 8
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Differentiate \(f(x)=\sin((x^2+1)^3)\).
Question 9
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Differentiate \(f(x)=\frac{1}{(1+x^2)^3}\).
Question 10
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Find \(f'(1)\) for \(f(x)=(3x^2-1)^4\).