Derivative of Trigonometric Functions: The following formula helps us to differentiate the given trigonometric function. ddxsecx=secxtanxddxcscx=−cotxcscx Product Rule: The product rule is used to differentiate the product of two functions such ask(x)×q(x). The follo...
Let u = log ( sec theta + tan theta ) and v = sec theta On differentiatng both sides w.r.t.theta , we get (du)/(d theta ) = (1) /((sec theta + tan theta) ) (sec theta tan theta + sec^(2) theta ) and (dv)/(d theta ) = sec theta tan theta
Derivatives of inverse trigonometric functions are found through the derivatives of the original trigonometric function and implicit differentiation. Implicitly deriving the original trigonometric function allows us to find the derivatives of these functions without having to go through the limit definition of...
The derivative of the dot product "distributes" over each vector Drawing : I draw a diagram explaining the situation to the right. The vectors ##\mathbf{A}## and ##\mathbf{B}## are drawn at some time ##t## making an angle ##\theta## between them. At some later time ##t+dt#...
What is the derivative of x \ sin(\frac {1}{x}) What is the derivative of 3 \ cot(n)(\theta) What is the derivative of \ln(\sin x + \cos x) What is the derivative of (\ln(x))^x ? what is the derivative of { f(x)=x^2*e^x } Would the ans...
To find the derivative of the square root of x, the formula used has to have the square root written in a different way. Learn the steps used to find the derivative of the square root of x, the solution, and how to check one's work using integrals. ...
The optical appearance of the numerically black hole solutions within the higher derivative gravity illuminated by an accretion disk context is discussed.
Why is the derivative of a polar function dy/dx? Homework Statement r = 2\cos(\theta) Homework EquationsThe Attempt at a Solution Hello, please do not evaluate. Why do textbook state that the derivative of the polar function (symbolic) is dy/dx and not dr/d\theta? It is a function ...
What is the derivative of x \ sin(\frac {1}{x}) What is the derivative of 3 \ cot(n)(\theta) What is the first derivative of s(x) = (7x)3x at x = 4? A. 12(2811) B. 2812(3 ln 28 + 3/7) C. 2812(7 ln 28) D. 2812(3 ln 28+3) ...
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 ) Find the derivative of y with respect to theta if y = e^(4theta)(co...