# 12th Grade Math: Derivatives Help

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

# 12th Grade Math: 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.

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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 in 12th grade math books 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.
• Tons of video tutorials on derivatives make it easy for you to better understand the concept.
• Tons of word problems on derivatives give you all the practice you need.
• Tons of printable worksheets on derivatives let you practice what you have learned in your 12th grade math class by watching the video tutorials.
How to do better on derivatives: TuLyn makes derivatives easy for 12th grade math students.

# 12th Grade: Derivatives Videos

Using The Product Rule To Find The Derivative Of A Exponential Function
Video Clip Length: 1 minute 59 seconds
Video Clip Views: 35013

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: 31645

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: 21842

derivatives, tangent line

derivatives video clips for 12th grade math students.

# 12th Grade: 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...

derivatives homework help word problems for 12th grade math students.

# Twelfth Grade: 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

derivatives homework help questions for 12th grade math students.

# How Others Use Our Site

I hope it will teach me the fundamentals for 11th grade and 12th grade Math.
I teach math to 9th grade -12th grade at a small city school in North Carolina. Knowing that each student in NC has to score levels 3 or 4 on the EOC Algebra 1 test to graduate, any real-life application type problems would be beneficial to the success of my students. Knowing also that matrces are heavily tested on the NC EOC test, this website appears that it would be helpful. Our textbooks do not offer many examples of matrices . Thank you.
It will help me understand derivatives much better.
finding derivatives of radical functions