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Syllabus

Derivative of ${x^n}\left( {n \in \mathbb{Q}} \right)$ , $\sin x$ , $\cos x$ , $\tan x$ , ${{\text{e}}^x}$ and $\ln x$ .

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Topic 6 - Calculus » 6.2 » Derivative of

${x^n}\left( {n \in \mathbb{Q}} \right)$ ,

$\sin x$ ,

$\cos x$ ,

$\tan x$ ,

${{\text{e}}^x}$ and

$\ln x$ .

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Directly related questions

08M.1.sl.TZ1.8a: Find $f'(x)$ .
10M.1.sl.TZ2.5: Let $f(x) = k{x^4}$ . The point ${\text{P}}(1{\text{, }}k)$ lies on the curve of f . At P,...
11N.1.sl.TZ0.9b: Show that $b = \frac{\pi }{4}$ .
13M.1.sl.TZ1.3a: Find $f'(x)$ .
15M.1.sl.TZ1.9c: Find $f'( - 2)$ .
16N.1.sl.TZ0.10b: (i) Find the first three derivatives of $g(x)$ . (ii) Given that...
16M.1.sl.TZ2.9c: Given that the outside surface area is a minimum, find the height of the container.
16N.1.sl.TZ0.10a: (i) Find the first four derivatives of $f(x)$ . (ii) Find ${f^{(19)}}(x)$ .
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17M.1.sl.TZ2.10d: Given that the area of triangle ABC is $p$ times the area of $R$ , find the value of $p$ .
12M.1.sl.TZ1.3b(i) and (ii): The tangent to the graph of f at the point ${\text{P}}(0{\text{, }}b)$ has gradient m...
12M.1.sl.TZ1.3c: Hence, write down the equation of this tangent.
09M.1.sl.TZ1.8c: (i) Find $\frac{{{\rm{d}}A}}{{{\rm{d}}\theta }}$ . (ii) Hence, find the exact value of...
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09N.2.sl.TZ0.2a: Find $f'(x)$ .
11M.1.sl.TZ2.9c: Show that $f(x)$ can also be written in the form $f(x) = 240 + 20x - 10{x^2}$ .
13M.1.sl.TZ2.9a: Find $f'(x)$ .
13N.1.sl.TZ0.10a: Show that $f'(x) = \frac{{\ln x}}{x}$ .
17M.2.sl.TZ1.6: Let $f(x) = {({x^2} + 3)^7}$ . Find the term in ${x^5}$ in the expansion of the derivative,...
17N.1.sl.TZ0.8b: Find the equation of $L$ in the form $y = ax + b$ .
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09M.2.sl.TZ2.6a: Write down the gradient of the curve at P.
SPNone.1.sl.TZ0.10a: Find $f'(x)$ .
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16M.1.sl.TZ2.9d: Fred paints the outside of the container. A tin of paint covers a surface area of...
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09N.2.sl.TZ0.2b: Find $g'(x)$ .
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16M.1.sl.TZ1.9a: Find the $x$ -coordinate of P.
16M.1.sl.TZ1.9c: The graph of $f$ is transformed by a vertical stretch with scale factor $\frac{1}{{\ln 3}}$ ....
18M.2.sl.TZ1.1a: Find f '(x).
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12M.1.sl.TZ1.3a: Write down $f'(x)$ .
10M.1.sl.TZ1.8a: Find the coordinates of A.
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18M.2.sl.TZ1.1c: Solve f '(x) = f "(x).

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