# Solve Derivative Problems

It will also find local minimum and maximum, of the given function.

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The online calculator will calculate the derivative of any function, with steps shown.

Also, it will evaluate the derivative at the given point, if needed.

(A tangent is a line that touches the curve at one point only.) Observing the graph, we see that it passes through `(0.9, 36.2)` and `(1.1, 42)`.

So the slope of the tangent at `t = 1` is about: `"slope"=(y_2-y_1)/(x_2-x_1)` The units are m/s, as this is a velocity.

There was a real need to understand how constantly varying quantities could be analysed and predicted.

That's why they developed differential calculus, which we will learn about in the next few chapters.The remainder of the chapter explains how to find derivatives of more complex expressions.This calculator evaluates derivatives using analytical differentiation.Notice this time that the slope of the graph is changing throughout the motion.At the beginning, it has a steep positive slope (indicating the large velocity we give it when we throw it).There are many applications of differentiation in science and engineering.You can see some of these in Applications of Differentiation.Notice that if we zoom in close enough to a curve, it begins to look like a straight line.We can find a very good approximation to the slope of the curve at the point `t = 1` (it will be the slope of the tangent to the curve, marked in pink) by observing the points that the curve passes through near `t = 1`. Because gravity acts on the ball it slows down, then it reverses direction and starts to fall. The slope is positive all the way (the graph goes up as you go left to right along the graph.) Now let's throw a ball straight up in the air.

## Comments Solve Derivative Problems

• ###### Solving word problems using derivatives Physics Forums

The derivative h`t=v t this is called the velocity function. The derivative of h't is h''t where h''t=a t this is called the acceleration function. Use all 3 functions to solve specific given statements. Understand what it means by position, velocity, and acceleration.…

• ###### Calculus Derivative Chain Rule - Problems - Math Solving App

The Chain Rule for Derivatives Introduction In calculus, students are often asked to find the “derivative” of a function. You can think of this graphically the derivative of a function is the slope of the tangent line to the function at the given point.…

• ###### Solving Differential Equations -

Solving a differential equation. From the above examples, we can see that solving a DE means finding an equation with no derivatives that satisfies the given DE. Solving a differential equation always involves one or more integration steps. It is important to be able to identify the type of DE we are dealing with before we attempt to solve it.…

• ###### Solving Derivatives Step by Step TutorVista

Solving Derivatives Step by Step Introduction to derivative In calculus, Differentiation is a method to compute the rate at which a dependent output y changes with respect to the change in the independent input x.…

• ###### Solve a simple derivative - YouTube

Mathblows helps you solve a simple derivative. 70+ channels, more of your favorite shows, & unlimited DVR storage space all in one great price.…

• ###### Derivative Calculator • With Steps!

The Derivative Calculator supports computing first, second. fifth derivatives as well as differentiating functions with many variables partial derivatives, implicit differentiation and calculating roots/zeros. You can also check your answers! Interactive graphs/plots help visualize and better understand the functions.…

• ###### Derivative Solver - Wolfram Alpha

Get the free "Derivative Solver" widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Mathematics widgets in WolframAlpha.…