What is the derivative of a function f(x)? ( ) A. The derivative of the function f(x) is a function, usually denoted f'(x), whose output f'(a) is the average value of f(x) at the point (a, f((a)), where a is any value of x in the domain for f(x) where f'(x)...
Derivative Lacking originality. Differential (mathematics) An infinitesimal change in a variable, or the result of differentiation. Derivative Something derived. Differential One of two coils of conducting wire so related to one another or to a magnet or armature common to both, that one coil produc...
【题目】Know the Concepts: Differentiation and Ratesof ChangeWhat is the derivative of a function f()? A. T he derivative of the function f(z) is a function, usually denoted f'(z), whose output f'(a)is the instantaneous rate of change of f(r) atthe point (a,f(a), where a ...
The quotient rule can be used for differentiation when taking the derivative of a function divided by another function. Gain a better understanding of when to use the quotient rule and explore some examples in this lesson. Explore our homework questions and answers library ...
What is the derivative of e^cos(x) + x^2? Applying the Rules of Differentiation to Calculate Derivative: When we try to find out the derivative of an expression that combines several functions, we can resort to the formulas corresponding to each of those functions that appear in the table...
What is the first derivative of s(x)=(7x)3x at x=4? Product Rule of differentiation: When product/multiplication of two functions are given and need to find differentiation of both the functions, then product rule of differentiation is used. Product rule is given by, ddx(u)(v)...
The correct Answer is:A To find the derivative of the function f(x)=7x(2x−1)(x+3), we will use the quotient rule. The quotient rule states that if you have a function in the form uv, where u and v are both functions of x, then the derivative f′(x) is given by: f′(...
Ify=cos−1(2cosx−3sinx√13), thendydx, is View Solution Find the derivative oftan−1(cosx+sinxcosx−sinx)with respect to x. View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium ...
Finally, multiply the derivative of the exponent by the original function, e^(sin x * ln(sin x)). Are there any other methods to find the derivative of (sin x)^sin x? Yes, you can also use logarithmic differentiation to find the derivative of (sin x)^sin x. This involves taking ...
Note:For all the inverse trigonometric functions first differentiate them and then all of them have general procedure. For example, when taking the derivative of $\arctan $, we move the inverse tangent to the right side (other side), do implicit differentiation and then use trigonometric id...