Find all the first order partial derivatives for the following function. f(x, y)

Question

Find all the first order partial derivatives for the following function. f(x, y) = (10x^5 y^3 + 6)^2 partial differential f/partial differential x = 100x^4 y^3(10 x^5 y^3 + 6); partial differential f/partial differential y = 60 x^5 y^3 + 6) partial differential f/partial differential x = 2(10 x^5 y^3 + 6); partial differential f/partial differential y = 2(10x^5 y^3 + 6) partial differential f/partial differential x = 50 x^4 y^3; partial differential f/partial differential y = 30 x^5 y^2 partial differential f/partial differential x = 60 x^5 y^2 (10 x^5 y^3 + 6); partial differential f/partial differential y = 100 x^4 y^3 (10 x^5 y^3 + 6)

Explanation / Answer

f( x , y ) = ( 10x5y3 + 6 )2

Differentiating above wrt x keeping y as constant

f/x = 2( 10x5y3 + 6 ) * ( 50x4y3 )  

Differentiating above wrt y keeping x as constant

f/y = 2( 10x5y3 + 6 ) * ( 30x5y2 )  

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.