Es werden grundlegenden Ableitungsregeln geübt.

Die Reihenfolge der Summanden ist auch randomisiert.

Solve equation involving exponential function

Solve equation involving exponential function.

Solve equation involving exponential function.

Students are shown 4 exponential equations, and 4 graphs and asked to match them.

Students are given an exponential equation and asked to identify the y-intercept from a list of choices.

The constants in the exponential equation have been randomised.

Students are shown an exponential graph and asked to identify the equation from a selection of 4.

Students are shown an exponential graph and asked to identify its equation from 4 choices.

The graph is randomised.

Students are given equations for a line, a parabola, a hyperbola and an exponential, and their respective graphs and are asked to match them.

The student is shown an exponential graph and asked to evaluate the function at some given value.

They are also asked whether or not the model is valid for all real inputs, but they only give a yes/no response. The reasoning is explained in the advice but is not required from students.

Students are given an exponential equation and asked to evaluate it at two points.

The constants in the exponential are randomised.

Students are shown an exponential curve and asked to identify it as either linear, parabolic, hyperbolic or exponential.

Students are shown an exponential function formula and asked to identify the correct graph, given an exponential, a hyperbola, a parabola and a line.

Students are shown an exponential graph and asked to choose the correct formula for the graph.

Shows an exponential graph displaying the value of an investment under compound interest. Students have to identify the type of graph and answer 3 questions about the value of the investment from the graph.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $af(x)$.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $f(x)+a$.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $f(ax)$.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $f(x+a)$.

Finding composite functions of a quadratic function and an exponential function.

Finding composite functions of a linear function and an exponential function.

Given an equation of the form $m=m_0 e^{-kt}$ to model the mass of a radioactive material, calculate the decay constant $k$ and the time taken for the material to reach a certain percentage of its initial mass. 

Given an equation of the form $T=T_0 e^{kt}$ to model temperature, calculate the temperature after a given time, the time taken to reach a certain temperature, and the time taken for the temperature to double.

Solving $e^{\ln(x)}+\ln(e^x)=a$ for $x$.

Integrating an exponential function of the form $ae^{bx}$ using a table of integrals / anti-derivatives.

Calculating the derivative of an exponential function of the form $ae^{bx}$, using a table of derivatives.

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Students are given an exponential equation and asked to evaluate it at two points.

The constants in the exponential are randomised.

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