You will need
• Table of derivatives, notebook, pen
Instruction
1
Learn the definition of derivative. In principle, to take the derivative without knowing the definition of the derivative, but the understanding of what is happening in this case is negligible.
2
Make a table of derivatives, which record the derivatives of basic elementary functions. Learn them. In any case, keep a table of derivatives is always at hand.
3
See if you can simplify the function. In some cases, it's much easier to take the derivative.
4
The derivative of a constant function (constant) is zero.
5
From the definition of the derivative rules of differentiation are derived (the rules for finding the derivative). Learn those rules.Derivative of sum of functions is equal to the sum of the derivatives of these functions. The derivative of a difference of functions is equal to the difference between the derivatives of these functions. The sum and difference can be grouped under a single concept of algebraic sum.The constant factor can be taken out of the sign of the derivative.Derivative of product of two functions is equal to the sum of the products of the derivative of the first function and the second derivative of the second function on the first.Private derivative of two functions is equal to: the derivative of the first function times the second function minus the derivative of the second function times the first function, and to divide it by the square of the second function.
6
To take the derivative of a composite function, it is necessary to consistently present it in the form of elementary functions and take the derivative rules. It should be understood that one function can be an argument of another function.
7
Let us consider the geometric meaning of derivative. The derivative of the function at x is the tangent of the angle of inclination of the tangent to the graph of the function at the point X.
8
Practice. Start with finding the derivative of simple functions, and then move to more complex.