Calculate the frist order differential of the function f(x,y) = x^{4}*y^{2}+2*x-y^{7}+3

Q: w= (x^3-1)/(x^2-1) W= y= (s^2-2s+1)(s+1)/(s^2+2s+1) 2:26 PM

A: Formula used: Dfg=gD(f)-fD(g)g2.....D=ddxD(xn)=nxn-1

Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

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Q: the derivative of E(q) is-(q*(q^2-1))^-1. what's its global maximum and global minimum. Thank you!

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Q: The method of u-substitution is the integral analog of the chain rule of derivatives and the method…

A: Let say we have two functions f(x) & g(x)Now combine the function f(g(x))Hence, the derivative…

Q: Let h(x) = tan(2x + 5). h'(x) h"(x) = = 2 sec (2x+5)(2) OF ४

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Q: Find the derivative of: h(w) = 3w + w^4/(2w^2 + 1)   [4w^5 + 4w^3 - 6w^2 + 3]/(2w^2+1)^2 [4w^5 -…

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Q: Use the differential for ex^(2)-y^2 to approximate the value of f(2.1,0.8). Your answer may have…

A: The given function isTo find,f(2.1, 0.8)

Q: Consider f(t)=. Find f'(1).

A: Given ft=<6t2,5t3,8t4> Differentiating the given function with respect to t, we get…

Q: Find the linearization of the function f(x) = x^(1/5) at a = 32 and use it to approximate…

A: Answer

Q: Y^5+X^3=Y^2+9x,Tangent At (0,1); Find The Equation Of The

A: We have to find the equation of the tangent of the curve y5+x3=y2+9x at (0, 1).

Q: Let f(x,y)=tan^-1(y,x). Find and simplify fx and fy. Then find and simplify fxx, fxy, and fyy.

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Q: F(w)= tan^-1(3w^2) Find, F'(w)=

A: The given function is: F(w)=tan-13w2

Q: Find the 1st order derivative for    R(x,y) = [(x^2)/(y^2 + 1) ]  -   [(y^2)/(x^2  + y)]

A: Given function is R(x,y)=x2y2+1-y2x2+y Differentiate partially with respect to x.…

Q: part A. let C be a curve of points in R^2 which satisfy the equation  x^3 + xy +y^2 =3. use…

A: We will answer the first question since we answer only one question at a time. Please submit the…

Q: 1. Find the derivative of the expanded function  a. a^2x^2+2abx+b^2 b.…

A: 1. a) Given, a2x2+2abx+b2 Consider,  y=a2x2+2abx+b2 Differentiate with respect to x,…

Q: Find the orthogonal trajectories of family of curves x-y=cx^2

A: To determine the orthogonal trajectory of the equation f(x,y)=c Find dydx Replace dydx→-dxdy Solve…

Q: Investigate the stationary values of f(x, y)=x^4+4x^2y^2-2x^2+2y^2-1

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Q: z = f(x,y) = 860 / ( 3x^2 + 4y^2 )

A: According to the given information, the height of a hill in prospect park is modelled by: Here…

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: Evaluate the directional derivative of the function f=x^2-y^2+2z^2 at the point A (1,2,3) in the…

A: Point A(1,2,3) and Point B(5,0,4) ⇒AB→=5-1i^+0-2j^+4-3k^=4i^-2j^+k^ Now we have to find the…

Q: Q6// Find the value of first and second derivative for the equation x² + xy - y² = y/x,at (1,1)

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Q: Verify Cauchy-Riemann equation for the function f(z) = z^3

A: To find- Verify Cauchy-Riemann equation for the function fz = z3         Formula Used-…

Q: What is the gradient of the curve y = x^3+4x^2-6x+3   at the point where x=-2 ?

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