integral from 0 to 1/3 of 2arcsin(3y)∫0312arcsin(3y)dyintegral of 9xe^{8x}∫9xe8xdxintegral of (e^{-3x}-1)^2∫(e−3x−1)2dx(dy)/(dx)-2y=2xdxdy−2y=2xderivative of x^{8/5}dxd(x58) Frequently Asked Questions (FAQ) What is the derivative of sin^6(x) ? The derivat...
tanx=sinxcosx cotx=cosxsinx 3)cscx=1sinx,among others. Answer and Explanation:1 Let us find the derivative ofy=sec(x). Let's redefine the function as a function of cosine. Thus we have {eq}y = \dfrac{1}{\cos x}... ...
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Find the derivative. y=tan(arcsinx) Derivative of Composite Function: If we have a composition of trigonometric and inverse trigonometric functions (sayT(I(x))), then its derivative is evaluated by applying the chain rule as shown below. ...
What is the derivative of (1-2x)^{-1}? What is the derivative of the following expression - 2y\cos (5y) What is the derivative of sin(x)^(1/2)? What is the derivative of 5 x^2? What is the derivative of -x^2 + 2x?
y = integral_{cos (x)}^{sin (x)} ln (8 + 7 v) dv Find the derivative of the function. f(x) = 8x + \frac{3}{x^{2 Find the derivative of the function. f(x) = x+1/x-1 Find the derivative of the function: g(x) = (x^2 + ...
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The power rule of differentiation says d/dx (xn) = n xn-1. The same rule can be applied in partial derivatives also.Example: ∂ / ∂x (x2y) = y ∂ / ∂x (x2) = y (2x) = 2xy.Product RuleThe product rule of ordinary differentiation says d/dx (uv) = u dv/dx + v...
x^2y^{''}-x(x+2)y^'+(x+2)y=2x^3x2y′′−x(x+2)y′+(x+2)y=2x3y^{''}+9y=-24sin(3t)y′′+9y=−24sin(3t)limit as x approaches-3 of x^2+2x-3x→−3lim(x2+2x−3)integral of (x+3)sqrt(x+3)∫(x+3)x+3dx9y^{''}+30y^'+25y=0,y(0)=a...
Taking derivative of each term on both sides with respect to x: d/dx (x) + a d/dx (y2) = d/dx (sin y) (keep in mind that 'a' is a constant here and hence its derivative is 0) By chain rule, 1 + a (2y · dy/dx) = cos y · dy/dx ...