= 2x cos(x2)Another way of writing the Chain Rule is: dy dx = dy du du dx Let's do the previous example again using that formula:Example: What is d dx sin(x2) ? dy dx = dy du du dx Let u = x2, so y = sin(u): d dx sin(x2) = d du sin(u) d dx x2 Differe...
find the derivative of sqrt(sin2x) 01:46 Evaluate: intsqrt((1-sin2x)/(1+sin2x))dx 06:03 sqrt([sin2x]-[cos2x]) Find the range 09:58 Find nth derivative of the following e^(x)sin x sin2x 03:39 find the derivative of sqrt(sin2x) 01:46 Find the derivative of sin2x 00:39 ...
derivative of log(sin x^2) 01:05 derivative of log (sec 2x +tan 2 x) 01:23 derivative of log {log (cos x} 01:14 Differentiate logtan(pi/4+x/2) with respect to x : 03:36 Differentiate logsqrt((1+sinx)/(1-sinx)) with respect to x : 03:28 Find the differential coefficient...
Find the derivative of the function.f(x)=\ln \left ( \frac{x(x-1)}{x-2} \right ) Find the Derivative of: y = 2 (\cos{x})^{2x} Find the derivative of f(x) = \ln |\sin 2x| Find the derivative of y=\tan(3x-2) ...
y=2 sin x cos x ? Question:what is the derivative of y=2 sin x cos x ? Implicit Differentiation :Consider a function f(x) its derivative with respect to x can be found by ddxf(x)=f′(x) For a function f(y) its derivative with respect to x gives ddxf(y)=f′(y)dydx Deri...
d/dx cos(x) = - sin(x) d/dx tan(x) = 1 - tan2(x) d/dx arcsin(x) = 1/sqrt(1-x2) d/dx arccos(x) = -1/sqrt(1-x2) d/dx arctan(x) = 1/(1+x2) Applications of the Derivative The derivative comes up in a lot of mathematical problems. An example is finding the ...
Use the second derivative test where applicable: {eq}f(x) = \sin^2x - \cos^2x, (0,2 \pi){/eq} Relative Extrema The relative extreme values of a function are the values of a function calculated at its critical points, such that the derivative func...
Answer to: Find the derivative of y = cos(x^4 - 2x + 19). By signing up, you'll get thousands of step-by-step solutions to your homework questions...
limit as x approaches infinity of x^{2x}x→∞lim(x2x)derivative of cos(2x+sin(2pi))dxd(cos(2x)+sin(2π))integral from 1 to t of (25)/(x^3)∫1tx325dxderivative of cos(x+a)dxd(cos(x+a))inverse oflaplace 7/(s^5)inverse laplaces57 ...
derivative ofsin6(x) Solution 6sin5(x)cos(x) Hide Steps Solution steps dxd(sin6(x)) Apply the chain rule:6(sin(x))5dxd(sin(x)) =6(sin(x))5dxd(sin(x)) dxd(sin(x))=cos(x) =6(sin(x))5cos(x) Simplify=6sin5(x)cos(x) ...