The derivative of sec^2x is equal to 2 sec^2x tanx. It is mathematically written as d(sec^2x)/dx = 2 sec2x tanx.
The derivative of arctan x is 1/(1+x^2). We can prove this either by using the first principle or by using the chain rule. Learn more about the derivative of arctan x along with its proof and solved examples.
Take the derivative of y=sec(xsin(x)+πcot(x)) Derivative Derivative of any function measures the rate of change of change of the function. It can be even used to find the slope of the tangent. Conceptually derivatives are found using first principle but it can be even found using ...
176 Chapter Four USING THE DERIVATIVE 4.1 LOCAL MAXIMA AND MINIMA What Derivatives Tell Us About a Function and its Graph When we graph a function on a computer or calculator, we often see only part of the picture. Infor- mation given by the first and second derivatives can help identify ...
Derivative by the first principle:This problem involves finding the derivative of a given function using the first principle. Let's say we have a function that is continuous and differentiable in the interval {eq}\displaystyle [a,b] {/eq}. Then the derivative of the functi...
Derivative of Secant: Find dy/dx Homework Statement Find dy/dx for ##~y=\sec^2(5x)## Homework Equations Secant and it's derivative: $$\sec\,x=\frac{1}{\cos\,x}$$ $$\sec'\,x=\tan\,x\cdot\sec\,x$$The Attempt at a Solution $$y=\sec^2(5x)~\rightarrow~y'=2\cdot 5...
At the same time we are interested in holographic application and are therefore driven to put further emphasis on the direct generalization of this deformation on H4, which was first constructed in minimal Euclidean supergravity by Martelli-Passias-Sparks2 as the gravity dual of the U(1) × U...
The first two properties are natural SFT version of the properties satis- fied by iX . From these requirements, we find that the operation of IX on K, B and c is uniquely determined by a two-component tangent vector X = (X1(K), X2(K)) consisting of two real functions of K. Then...
Using the above given trigonometric formulas, we can write the derivative of cos x and the derivative of 1/sec x, that is, d(cos x)/dx = d(1/sec x)/dx, and apply the quotient rule of differentiation.dcosxdx=d(1secx)dx=(1)′secx−(secx)′1sec2x=0.secx−secxtanxsec2x=−...
That is, in the first aspect of the present invention, there is provided: [1] a salt represented by the following formula (I): (wherein A+ represents an isopropylammonium ion, sec-butylammonium ion or cyclopentylammonium ion). Moreover, in another aspect of the present invention, there...