9-36 Find the first partial derivatives of the function. 9. f(x,y)=x4+5xy3 10. f(x,y)=x2y−3y4 11. g(x,y)=x3siny 12. g(x,t)=ext 13. z=ln(x+t2) 14. w=v2u 15. f(x,y)=yexy 16. g(x,y)=(x2+xy)3 17. g(x,y)=y(x+x2y)5 18. f(x,y)=(x+y)2x 19. f(x,y)=cx+dyax+by 20. w=u+v2ev 21. g(u,v)=(u2v−v3)5 22. u(r,θ)=sin(rcosθ) 23. R(p,q)=tan−1(pq2) 24. f(x,y)=xy 25.

(17) given g(x, y) = y(x + x^2y)^5 To find the partial derivatives of the function g(x, y) = y(x + x^2y)^5 with respect to x and y, we differentia...

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Pregunta: 9-36 Find the first partial derivatives of the function. 9. f(x,y)=x4+5xy3 10. f(x,y)=x2y−3y4 11. g(x,y)=x3siny 12. g(x,t)=ext 13. z=ln(x+t2) 14. w=v2u 15. f(x,y)=yexy 16. g(x,y)=(x2+xy)3 17. g(x,y)=y(x+x2y)5 18. f(x,y)=(x+y)2x 19. f(x,y)=cx+dyax+by 20. w=u+v2ev 21. g(u,v)=(u2v−v3)5 22. u(r,θ)=sin(rcosθ) 23. R(p,q)=tan−1(pq2) 24. f(x,y)=xy 25.
help me ques: 17,20,24,26,30,35
thks very much

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Paso 1
(17) given $g (x, y) = y {(x + x^{2} y)}^{5}$
Explanation:
To find the partial derivatives of the function $g (x, y) = y {(x + x^{2} y)}^{5}$ with respect to x and y, we differentia...
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Texto de la transcripción de la imagen:

9-36 Find the first partial derivatives of the function. 9.

f (x, y) = x^{4} + 5 x y^{3}

10.

f (x, y) = x^{2} y - 3 y^{4}

11.

g (x, y) = x^{3} sin y

12.

g (x, t) = e^{x t}

13.

z = ln (x + t^{2})

14.

w = \frac{u}{v ^{2}}

15.

f (x, y) = y e^{x y}

16.

g (x, y) = (x^{2} + x y)^{3}

17.

g (x, y) = y (x + x^{2} y)^{5}

18.

f (x, y) = \frac{x}{( x + y ) ^{2}}

19.

f (x, y) = \frac{a x + b y}{c x + d y}

20.

w = \frac{e ^{v}}{u + v ^{2}}

21.

g (u, v) = (u^{2} v - v^{3})^{5}

22.

u (r, θ) = sin (r cos θ)

23.

R (p, q) = tan^{- 1} (p q^{2})

24.

f (x, y) = x^{y}

25.

F (x, y) = \int_{y}^{x} cos (e^{t}) d t

26.

F (α, β) = \int_{α}^{β} t^{3} + 1 d t

27.

f (x, y, z) = x^{3} y z^{2} + 2 yz

28.

f (x, y, z) = x y^{2} e^{- x =}

29.

w = ln (x + 2 y + 3 z)

30.

w = y tan (x + 2 z)

31.

p = t^{4} + u^{2} cos v

32.

u = x^{y /2}

33.

h (x, y, z, t) = x^{2} y cos (z / t)

34.

ϕ (x, y, z, t) = \frac{αx + β y ^{2}}{γ z + δ t ^{2}}

35.

u = x_{1}^{2} + x_{2}^{2} + \dots + x_{n}^{2}