# Calculus: Derivatives Help

This page is for calculus students who need help, and for teachers and tutors who are looking for resources on derivatives.

# Calculus: Derivatives

In calculus, the derivative is a measurement of how a function changes when the values of its inputs change. Loosely speaking, a derivative can be thought of as how much a quantity is changing at some given point. For example, the derivative of the position or distance of a car at some point in time is the instantaneous velocity, or instantaneous speed (respectively), at which that car is traveling (conversely the integral of the velocity is the car's position).

A closely related notion is the differential of a function.

The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point.

The process of finding a derivative is called differentiation. The fundamental theorem of calculus states that differentiation is the reverse process to integration.

Many students find derivatives difficult. They feel overwhelmed with derivatives homework, tests and projects. And it is not always easy to find derivatives tutor who is both good and affordable. Now finding derivatives help is easy. For your derivatives homework, derivatives tests, derivatives projects, and derivatives tutoring needs, TuLyn is a one-stop solution. You can master hundreds of math topics by using TuLyn.

At TuLyn, we have over 2000 math video tutorial clips including derivatives videos, derivatives practice word problems, derivatives questions and answers, and derivatives worksheets.

Our derivatives videos replace text-based tutorials and give you better step-by-step explanations of derivatives. Watch each video repeatedly until you understand how to approach derivatives problems and how to solve them.
• Hundreds of video tutorials on derivatives make it easy for you to better understand the concept.
• Hundreds of word problems on derivatives give you all the practice you need.
• Hundreds of printable worksheets on derivatives let you practice what you have learned by watching the video tutorials.
How to do better on derivatives: TuLyn makes derivatives easy.

# Calculus: Derivatives Videos

Using The Product Rule To Find The Derivative Of A Exponential Function
Video Clip Length: 1 minute 59 seconds
Video Clip Views: 34854

derivatives, exponential functions, exponents, functions, product rule
Using The Product Rule To Find The Derivative Of An Algebraic Complex Fractional Function
Video Clip Length: 5 minutes 59 seconds
Video Clip Views: 31471

algebraic fractions, complex fractions, derivatives, fractions, number sense, numbers, product rule
Determining Points At Which Function Has Horizontal Tangent Line
Video Clip Length: 11 minutes 55 seconds
Video Clip Views: 21744

derivatives, tangent line

# Calculus: Derivatives Word Problems

A ball is thrown vertically upwards with an initial velocity
A ball is thrown vertically upwards with an initial velocity of 60m/s. After time t seconds, its height above the ground is given as s=60t-16t2. Find its instantaneous velocity after t seconds. Discuss the specialty about time t=15/8
A one-product firm estimates
(cost and profit) a one-product firm estimates that its daily total cost function (in suitable units) is
C(x)=x3-6x2+13x+15
and its total revenue function is
R(x) = 28...
Let f(t) be the weight (in grams) of a solid
Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of the wieght of the solid at any time t can be be determined from the weight using the formula:

f'(t)=-5(t)(2+f(t))

If there is 3 grams of solid at time t=2...

# Calculus: Derivatives Practice Questions

Find the point on the curve y-axis which is nearest the point (4,0)
Find the marginal cost function, average cost function, and marginal average cost function for the total cost function of:
C(x)= x3/3 - 15x2 + 200x

# How Others Use Our Site

It will help me understand derivatives much better.