Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

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Differentiate $\displaystyle \ln((ax+b)^{m})$

Several questions asking about content in Week 0 of course; arithmetic, bodmas, procedures, exponentiation, logs.

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Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

This quiz contains questions on functions, limits, logs, exponential functions, simultaneous equations and quadratic equations.

Questions on manipulating logarithms.

Differentiate the following functions: $\displaystyle x ^ n \sinh(ax + b),\;\tanh(cx+d),\;\ln(\cosh(px+q))$

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

A collection of questions (frequently updated) to demonstrate the usage of the Logic extension.

Current questions:

• Make syllogisms (either valid, invalid or valid under an additional assumption);
• Write statements in Polish and reverse Polish notation, find the truth table, determine satisfiability;
• Test whether a collection of statements $\Gamma$ models a statement $\phi$;
• Write the Disjunctive and Conjunctive Normal Forms for a statement.

Needs the Logic Extension!

Three questions on parametric hypothesis testing and confidence intervals, aimed at psychology students.

Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

Apply and combine logarithm laws in a given equation to find the value of $x$.

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Solve for $x$: $\displaystyle 2\log_{a}(x+b)- \log_{a}(x+c)=d$. 

Make sure that your choice is a solution by substituting back into the equation.

Solve for $x$:  $\log_{a}(x+b)- \log_{a}(x+c)=d$

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

This quiz will assess your ability to differentiate trigonometric & logarithmic functions together with implicit differentiation.

Questions on manipulating logarithms.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.

Use the rule $\log_a(n^b) = b\log_a(n)$ to rearrange some expressions.

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

Use laws for addition and subtraction of logarithms to simplify a given logarithmic expression to an arbitrary base.