The derivative of the function y = 2**csc-"(x²) is: %3D y'= 4 (n4)x' csc"(x*) 4 y'= 2 (In2)xsec" (x³) 21 xVx-1 This option This option y' = 2(In 2).xcsc "(x*) y' 4(In 4)x' sec" (x*) 4 xVx' -1 This option This option

Q: Calculate G' (-4) to 3 significant figures where G(x) = (-4x – 2)'°(-2x² + 1x + 4) 2

A: Calculate G'(-4) to 3: significant figures  G(x)= (-4x-2)10(-2x2+1x+4)12

Q: find the implicit derivative 2 3u3 - 4xt by? -by= 5x°+y

A: Given:- 3y3 - 4x +6y2 -6y = 5x3+y To find:- Derivative of given implicit function

Q: find the derivative of the function f (x) = 8 arcsin ( 8x²+17x-10 )

A:

Q: how derivatives of : a. y = ex^3+5x3 b. y = ln(2x4+2)3

A:

Q: First Derivative:  w=sec2x+tan2v

A:

Q: Calculus Question

A: Now consider,

Q: Find the derivative of the function f(x)= 7arcsin(x - 9). 7 f"(x) = (x-9)-1 7 f'(x)= (x - 9) - 1 7…

A: we know that ddxsin-1x=11-x2

Q: Find the derivative of f(x) = -5x4+7-2x² a.) f'(x) = -20x³-4x-7-2x² b.) f'(x) = -20x³-4x-7-2x² In7…

A:

Q: 5е + 6 Find the derivative of g(x) 4x10 + 6x9

A: Formula used: Quotient rule of differentiation: ddxuv=u'×v-v'×uv2 Power rule of differentiation:…

Q: Compute the derivative of y= [(x+1)/x^3-1)]^1/2

A: The given function is y=x+1x3-112. Obtain the derivative as follows.

Q: What is the derivatives of f(x)=(x^3)/(9-X^2) and its x and y intersect?

A: a) From the given problem: fx=x39-x2Ory=x39-x2   So,   dydx=ddxx39-x2=ddxx39-x2-ddx9-x2x39-x22…

Q: 25

A: Given function is x2+y22=254xy2 We have, some rule of differentiation, ddxxn=nxn-1 ddxuv=vddxu+uddxv…

Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: Use the Product and Quotient Rules as necessary to find the derivative of f(x) = 7x cos(x) %3D (Use…

A: Given: f(x)=7x2cosx Now,       f'(x)=7x2cosx'        =7x2'cosx+cosx' x2       =72xcosx+-sinxx2…

Q: Find d/dx((x)(d/dx(x-x^2))

A:

Q: Find the derivative of y= 3x5-7x²-4 2 X

A:

Q: Calculus Question

A: Let t represent time in seconds. Now the point is moving on the graph x y = 35 Differentiating…

Q: y=x(tan^-1)(2x)-(1/4)ln(1+4x^2) find derivative of the function: full steps please

A: The given function is

Q: The expression dy/dx = x(cube root^3 y) gives the slope at any point on the graph of the function…

A: Consider the differential equation dydx=fx,y with the initial condition yx0=y0. Substitute the…