Y=10^sin(x)
The derivative is:
(log(5)+log(2))*cos(x)*2^sin(x)*5^sin(x)
Use the chain rule, product rule, and power rules combined with sin(x) rule.
Find the derivative of Y and then divide that by the derivative of A
you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
Derivative of sin x = cos x, so chain rule to derive 8x = 8 , answer is 8cos8x
y is a sum of constants and so is itself a constant. Its derivative is, therefore, zero.
y=3 cos(x) y' = -3 sin(x)
The "critical points" of a function are the points at which the derivative equals zero or the derivative is undefined. To find the critical points, you first find the derivative of the function. You then set that derivative equal to zero. Any values at which the derivative equals zero are "critical points". You then determine if the derivative is ever undefined at a point (for example, because the denominator of a fraction is equal to zero at that point). Any such points are also called "critical points". In essence, the critical points are the relative minima or maxima of a function (where the graph of the function reverses direction) and can be easily determined by visually examining the graph.
Calculate the derivative of the function.Use the derivative to calculate the slope at the specified point.Calculate the y-coordinate for the point.Use the formula for a line that has a specified slope and passes through a specified point.
To find the derivative of a function with terms 2, 4, 6, and 8 without using integration, you would differentiate each term separately using the power rule. The power rule states that for a term of the form axn, the derivative is nax(n-1). Apply this rule to each term to find the derivative of the function.
pi divided by 6 is a constant and so its first derivative is 0. And since that is also a constant, the second derivative is 0. It is not clear what f(x) = csc(x) has to do with that!
That's 1/2 .(You have to use l'Hospital's rule.)
Oh, dude, the third derivative of ln(x) is -2/(x^3). But like, who really needs to know that, right? I mean, unless you're planning on impressing your calculus teacher or something. Just remember, math is like a puzzle, except no one actually wants to put it together.
You will find several formulae in the Wikipedia article on "derivative".