Looks good with one very minor exception tan-1(1) = pi/4 (exactly), and is only approximately equal to .7854.spoc21 said:Homework Statement
The base of an isosceles triangle is 20 cm and the altitude is increasing at the rate of 1 cm/min. At what rate is the base angle increasing when the area is 100 cm^2?
Homework Equations
The Attempt at a Solution
Im very unsure about my solution method. I have attached a copy my solution in pdf format, and would really appreciate if someone could take a quick look at it, and preferably tell me if its right or wrong..
Thanks
A derivative is a mathematical term that represents the rate of change of a function at a specific point. It measures how much a function is changing with respect to its input variable.
The derivative of a function f(x) is calculated by taking the limit as h approaches 0 of the difference quotient (f(x+h)-f(x))/h. This is also known as the first principle of differentiation.
Trigonometric derivatives have many real-world applications, such as in physics, engineering, and economics. They can be used to model the motion of an object, analyze electrical circuits, and optimize business strategies.
To check your answers for trigonometric derivative problems, you can use a graphing calculator or an online derivative calculator. You can also solve the problem by hand and compare your answer to the original problem.
Yes, trigonometric derivatives can be applied to real-world problems to model and analyze various situations. For example, they can be used to calculate the maximum height of a projectile or the optimal angle for a ramp.