Y = sinnx cosx then dy/dx is equal to What is the inverse of f(x) = -2(x + 1)^5? What is the substitution property of equality? What is 0.122 squared? Under what conditions will the substitution u = tan ( x ) work on sec k x tan n x d x ?
Once we've learned how to compute limits, we can define the derivative. This is done by taking the difference quotient, which is one way to express the average rate of change, and to calculate it as we let the length of the interval, which is in the denominator, approach zero. ...
Calculus is also referred to as infinitesimal calculus or “the calculus of infinitesimals”. Infinitesimal numbers are quantities that have a value nearly equal to zero, but not exactly zero. Generally, classical calculus is the study of continuous changes of functions. What is Calculus? Calculus ...
Calculating an instantaneous speed or velocity requires the use of a mathematical limit formula that specifies time approaching zero. A limit formula is used in calculus to determine the derivative of a function -- in this case, distance or displacement as it relates to time. Because of the com...
Sine function is a trigonometric function that is equal to the ratio of perpendicular and hypotenuse of a right triangle. Learn sine function definition, formula, properties, values for different angles, at BYJU'S.
In mathematics, derivatives are a fundamental tool of calculus that is widely used in problems based on calculus and differential equations. The derivatives are the rate of change of the functions with respect to the function's variables. Some derivatives formulas are as below: ddt(tn)=ntn...
In particular, if , then . That is to say, given two orders of magnitudes, any term of equal or lower order to a “main term” can be discarded. This is a very useful rule to keep in mind when trying to estimate sums or integrals, as it allows one to discard many terms that are...
In calculus, what is the derivative of x^2 + 2x + 3? What is the derivative of this function? g(x) = -500/x, x is not equal to 0. What is the derivative of sin(\pi x)? What is the derivative of 2sqrt(x)? What is the derivative of x(y^3)\sin ...
Calculus is a branch of mathematics that explores variables and how they change by looking at them in infinitely small pieces called infinitesimals. Calculus, as it is practiced today, was invented in the 17th century by British scientist Isaac Newton (1642 to 1726) and German scientist Gottfried...
The antiderivative rules in calculus are basic rules that are used to find the antiderivatives of different combinations of functions.