Further Differentiation (AQA A-Level Mathematics): Quizzes

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Differentiating Other Functions (Trig, ln & e etc)
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What is ddxsin(x)\frac{d}{dx} \sin(x)?

cos(x)\cos(x)

What is ddxcos(x)\frac{d}{dx} \cos(x)?

sin(x)-\sin(x)

What is ddxtan(x)\frac{d}{dx} \tan(x)?

sec2(x)\sec^2(x)

What is ddxln(x)\frac{d}{dx} \ln(x)?

1x\frac{1}{x}

What is ddxex\frac{d}{dx} e^x?

exe^x

What is ddxax\frac{d}{dx} a^x where aa is a constant base?

axln(a)a^x \ln(a)

What is ddxloga(x)\frac{d}{dx} \log_a(x) where aa is a constant?

1xln(a)\frac{1}{x \ln(a)}

What is ddxsin(3x)\frac{d}{dx} \sin(3x)?

3cos(3x)3\cos(3x)

What is ddxln(2x+1)\frac{d}{dx} \ln(2x + 1)?

22x+1\frac{2}{2x + 1}

What is ddxe4x2\frac{d}{dx} e^{4x^2}?

e4x28xe^{4x^2} \cdot 8x

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