What is the derivative ofsec−1(x+2)2=2(x+2)(x+2)−1? Differentiation of sec−1x=1xx2−1 Answer and Explanation:1 Lety=sec−1(x+2)2 Differentiation wrt x: {eq}\frac{dy}{dx}=\frac{1}{(x+2)^2\sqrt{(x+2)^4-1}} . \frac{d}{dx...
Compute the derivative of y = \tan^{3}(\cos(\theta^{2} - 4\theta)). Compute the derivative of f (x) = \frac {x + In \ x}{x - In \ x}. Compute the derivative. f(x) = x^4e^x cos x Compute the derivative of f(x) = cos(x) ln(x). ...
Answer to: Find the derivative: y = \frac{\cos\theta}{1 + \sin^{2}\theta} By signing up, you'll get thousands of step-by-step solutions to your...
What is the derivative of x^{\sin(\frac{\pi}{4})}? What is the derivative of y= xcos(x)sin(x) ? What is the derivative of sin^3(x)? What is the derivative of sin(\pi x)? What is the derivative of e^10? What is the derivative of 4 - 4sin(theta)^2?
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...
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
problem: If ##z=f(x,y)##, where ##x=rcos\theta## and ##y=rsin\theta##, find ##\frac {\partial z} {\partial r}## and ##\frac {\partial z} {\partial \theta}## and show that ##\left( \frac {\partial z} {\partial x}\right){^2}+\left( \frac {\partial z}......
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Here,L_{\Theta }(\mathfrak{B},\mathfrak{W})be the space of all Θ-Hilbert-Schmidt operators from\mathfrak{B}to\mathfrak{W}. (H7)\mathfrak{L}: \mathfrak{D}\times \mathfrak{W} \rightarrow \mathfrak{R}verifies: (I)\mathfrak{L}(\cdot ,m): \mathfrak{D}\rightarrow \mathfra...
Shen, L. C.: On the logarithmic derivative of a theta function and a fundamental identity of Ramanujan. J. Math. Anal. Appl., 177, 299-307 (1993)L.-C. Shen, On the logarithmic derivative of a theta function and a fundamental identity of Ramanujan, J. Math. Anal. Applics. 177 (...