A derivative basically gives you the slope of a function at any point. The derivative of 2x is 2Read more about derivatives if you don't already know what they are!The "Second Derivative" is the derivative of the derivative of a function. So:...
Answer to: Find the second derivative of f(x) = sin x/(1 - cos x). By signing up, you'll get thousands of step-by-step solutions to your homework...
We can also find the derivative oftrigonometric functionsthat means for sin, cos, tan and so on. The formulas are given below: 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 ...
Take the derivative of the first derivative to get the second derivative. Reminder: the derivative of sin x is cos x; the derivative of cos x is - sin x. Related questions What is the geometrical meaning of second derivative? The first derivative is the rate of change, ...
Use the second derivative test to find all relative extrema. f(x)=cosx−x; [0,4π]Types of Functions:Within all the functions there is a large group that belongs to the trigonometric, exponential and logarithmic functions, the set of all these functions are called tran...
Use the second derivative test where applicable: {eq}f(x) = \sin^2x - \cos^2x, (0,2 \pi){/eq} Relative Extrema The relative extreme values of a function are the values of a function calculated at its critical points, such that the derivative function c...
Learn about Second Order Derivative - Higher Order Derivatives and the technique to calculate them. To know more on Second order derivative with BYJU'S.
y=6x−6−2x dydx= d2ydx2= The derivative of a power function There is a set of rules which are used to find the derivatives of different types of functions. One among them is "power rule", which is used to find the derivative of a power function where th...
d2ydx2 + xy = sin(x) This has a second derivative d2y dx2 , so is "Second Order" or "Order 2"Example: d3ydx3 + xdydx + y = ex This has a third derivative d3y dx3 which outranks the dy dx , so is "Third Order" or "Order 3"Before...
For example, if we have a function f(x) = sin(x^2), we can use the chain rule with second derivative to find the derivative of f(x) with respect to x. First, we take the derivative of the outer function, which is cos(x^2). Then, we multiply it by the derivative of the inn...