Find the derivative of the function. y=\int_{\cos x}^{\sin x} \ln(9+5v)dv Find the derivative: f(x) = \frac{\sqrt{x{3x + 1} Find the derivative of y=\sec^{-1}(\sqrt x) Find the derivative of \left ( \frac{2x}{1 + x} \right )^{e^{x. ...
Find the first derivative of the functions.a.\sqrt[5]{x^{3+\frac{1}{x^{2 b.x^{4}\cdot \cos 3x\cdot \tan x c.\sin ^{2}7x d.\sqrt{1-x^{2 Find the first derivative of y = 66 + x6 + 6x. Find the first derivative of g(x) = \frac{x^2 + \tan x}{\cos x + ...
Frequently Asked Questions (FAQ) What is the derivative of (3x-y)/x ? The derivative of (3x-y)/x is y/(x^2) What is the first derivative of (3x-y)/x ? The first derivative of (3x-y)/x is y/(x^2)
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The derivative of a function f(x) tells the rate of change of f(x) with respect to x. {eq}\frac{d}{dx} \sin ax =a \cos x \\ \frac{d}{dx} \cos ax =-a \sin x \\ {/eq} Differentiation:Definition using Limits: We define the derivative of a function as {eq}\dfrac{dy}...
derivative of sin6(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)...
Find the second derivative of e^(3x)sin4x. 05:05 Find the second derivative of sin 3x cos 5x. 07:14 If y=e^tanx then prove that: cos^2x(d^2y)/(dx^2)-(1+sin2x)(dy)/dx=0 03:59 If y=(logx)/x , show that (d^2y)/(dx^2)=(2logx-3)/(x^3) . 01:39 If y=e^(...
Here you can see the derivative f'(x) and the second derivative f''(x) of some common functions.Notice how the slope of each function is the y-value of the derivative plotted below it.For example, move to where the sin(x) function slope flattens out (slope=0), then see that the...
Find the derivative of g x = 2 + x^2 + 1^4 ^3 What is the derivative of y = \frac{e^0-1x^3 (3x^5 + 19)^3}{(4x^2 + 9x - 19)^5} with respect to x Find the anti derivative of f(x) = 3x^5 + x - 4
Acta Pharmacologica Sinica www.chinaphar.com Xu Y et al Figure 2. Enzyme phenotypes of triptolide and (5R)-5-hydroxytriptolide. The incubation system containing triptolide (or (5R)-5-hydroxytriptolide, 3 ƫPRO/ 3%6 PPRO/ S+ &<3V SPRO...