Answer to: Find the derivative: y = \frac{\cos\theta}{1 + \sin^{2}\theta} By signing up, you'll get thousands of step-by-step solutions to your...
What is the derivative of y= xcos(x)sin(x) ? How to find derivative of number? What is the derivative of 1/x using the quotient rule? What is the derivative of x \ sin(\frac {1}{x}) What is the derivative of 3 \ cot(n)(\theta) ...
When you use the power rule to differentiate the square root, the result is 1/2(sqrt. x) which is undefined at 0. But, when you use the definition of the definition of the derivative to calculate it, the result is infinity. What causes this difference between these two methods? mopit...
One of the core concepts of contemporary control theory is the idea that a dynamical system can be controlled. Several abstract settings have been developed to describe the distributed control systems in a domain in which the control is acted through the boundary. In this manuscript, we investigat...
How can you maximize the volume of a box made from a rectangular sheet? Suppose someone gives you a rectangular sheet of length a and width b (so b ≤ a). You make a topless box by cutting out a square with length x out of each corner and folding up the sides. How should you ...
Find derivative of following function. f (theta) = theta^2 tan (theta). Find the derivative of y with respect to theta. y = 2 e^theta (sin theta - cos theta) Find the derivative of the function y = \operatorname { cot } ^ { 2 } ( \operatorname { sin } \theta ) ...
What are the derivatives of trigonometric functions? The derivatives of six trigonometric functions are: (d/dx) sin x = cos x (d/dx) cos x = -sin x (d/dx) tan x = sec2x (d/dx) cosec x = -cosec x cot x (d/dx) sec x = sec x tan x ...
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The rate of change of a function at a given point in the direction of a given vector is nothing but its directional derivative. The directional derivative of a functionf(x,y,z)at a point(x1,y1,z1)in the direction of a vectorv→is given...
Third derivative will be evaluated with the help of quotient rule of differentiation. Answer and Explanation: A.) Differentiate the given function with respect to theta and we have $$\begin{align*} f\left( \theta \right) &= {\left( {{e^...