mckinneya14
mckinneya14 mckinneya14
  • 22-02-2017
  • Mathematics
contestada

Find dy/dx by implicit differentiation and evaluate the derivative at the given point.
tan(5x + y) = 5x, (0, 0)

Respuesta :

LammettHash
LammettHash LammettHash
  • 25-02-2017
[tex]\tan(5x+y)=5x[/tex]

Differentiating both sides yields

[tex]\sec^2(5x+y)\times\left(5+\dfrac{\mathrm dy}{\mathrm dx}\right)=5[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=5\cos^2(5x+y)-5[/tex]

At the point (0,0), you get

[tex]\dfrac{\mathrm dy}{\mathrm dx}=5\cos^2(5(0)+0)-5=5-5=0[/tex]
Answer Link

Otras preguntas

What is 8.61 to the nearest tenth?
Which sentence does not contain any errors in comma usage?   A. The Grand Canyon is just
16 is 25% of what number???
Sarah wrote that (3^5)^7 = 3^12. Correct her mistake. Write an exponential expression using a base of 3 and exponents of 5,7,12 that would make her answer corre
If a rectangle with a perimeter of 48 inches is equal in area to a right triangle with legs of 12 inches and 24 inches, what is the rectangle’s diagonal?
Which pronoun best completes the sentence? How is the pronoun used? The coaches cancelled afternoon practice for __________ and the managers.
Sarah wrote that (3^5)^7 = 3^12. Correct her mistake. Write an exponential expression using a base of 3 and exponents of 5,7,12 that would make her answer corre
why the nile river no longer overflows its banks?
what is the answer to (11x4)^9
What change will a pebble usually undergo when it is transported a great distance by streams