Reading comprehension - ensure that you draw the most important information from the related lesson on finding the derivative of trig functions Problem solving - use acquired knowledge to solve practice problems using derivatives Knowledge application - use your knowledge to check your understanding of...
Learn what a derivative of a function is, the notational definition of a derivative formula, what higher-order derivatives are, and see worked-out...
Derivative of a Function using Quotient Rule:If we have to differentiate a function (to calculate derivative) that is a rational function, we can use the quotient rule as shown below. ddx[f(x)g(x)]=g(x)ddxf(x)−f(x)ddxg(x)[g(x)]2 ...
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Answer to: Use rules of differentiation to find the derivative of the following functions.(a) f(x)= 2 / square root (x^2)+5. (b) f(x)= sin^2...
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How to Do Implicit Differentiation With Trig Functions? When we do the implicit differentiation of trig functions, then just apply the normaltrig derivativessuch as d/dx(sin x) = cos x, d/dx(cos x) = - sin x, etc and then apply chain rule. It means we should multiply the actual der...
Find the derivative of the following function. Be sure to differentiate with respect to the variable as given. f(theta) = sin(2theta) (Use the trig identity sin(2theta) = 2sin(theta)cos(theta) and then the product rule). Find the derivative of the...
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Recall thatddx(sec(x))−sec(x)tan(x).Use the Quotient Rule and your knowledge of the derivative ofsineandcosinefunctions to prove this. Derivative: The given problem is a good example of how we can derive the deri...