The online exercises on exponential functions provided here help students understand and apply the properties of exponential functions and natural logarithms. Each exercise focuses on simplifying algebraic expressions or calculating derivatives.
For example, one exercise proposes simplifying an expression using the properties of logarithms and exponentials. Similarly, another exercise involves simplifying another exponential expression, testing the student's ability to manipulate these expressions.
Another exercise challenges the student to simplify an expression that integrates the properties of logarithms in a multiplied expression. Finally, one exercise asks to calculate the derivative of a function, allowing students to practice applying the rules of differentiation to exponential functions.
These exercises align with the high school mathematics curriculum in the United States, where exponential and logarithmic functions play an important role. Students are expected to master these concepts to succeed in their exams, and the proposed exercises ensure they understand the basics before tackling more complex topics.
These exercises help develop analytical and logical skills essential for higher studies in mathematics, science, and engineering. They also encourage a deep understanding of basic concepts, which is crucial for solving mathematical problems effectively.
4 exercisesExercise example N°1717 :
Simplify the following expression `e^ln(3)+e^ln(4)`.
exponential functions 12th Grade calculator
The goal of this corrected exercise is to use the properties of the exponential and the neperian logarithm to simplify an algebraic expression.
Exercise example N°1718 :
Simplify the following expression `e^ln(8)/e^ln(4)`.
exponential functions 12th Grade calculator
The goal of this corrected exercise is to use the properties of the exponential and the neperian logarithm to simplify an algebraic expression.
Exercise example N°1719 :
Simplify the following expression `e^(ln(8)*ln(4))`.
exponential functions 12th Grade
The goal of this corrected exercise is to use the properties of the exponential and the neperian logarithm to simplify an algebraic expression.
Exercise example N°1731 :
Calculate the derivative of the function `e^(3+5*x^2)`.
exponential derivatives of functions functions 12th Grade derivative
The aim of this corrected exercise is to use the exponential for the calculation of derivatives.