How many points of inflection does the graph of $f (x) = x^{4} - 4 x^{3}$ have?

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Differentiate $y = (3 x^{2} - 5)^{4}$ with respect to $x$ .
Find the gradient of the normal to the curve $y = x^{2} - 4 x + 1$ at the point where $x = 3$ .
Find the equation of the horizontal asymptote of the function $f (x) = \frac{5 x - 3}{2 x + 7}$ .
A bacterial colony grows according to the model $N (t) = 500 e^{0.04 t}$ , where $t$ is measured in hours. What is the initial population of t…
What is the domain of the function $g (x) = ln (4 - x^{2})$ ?
Evaluate $lim_{x \to 0} \frac{s i n ( 5 x )}{x}$ .