Answer:
zero
Step-by-step explanation:
Answer:
Step-by-step explanation:
The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function
g(x,y) = sin(π(x−5y)
∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))
(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]
(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]
∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j
∇g = π [cos (π(x−5y))] [î - 5j]
So, the question requires a direction vector and a point to fully evaluate this directional derivative now.
Answer:
Hope the graph below helps.
Step-by-step explanation:
Answer:
-2x² + 4x + 2
Step-by-step explanation:
(1-8x²+3x)+(1+6x²+x)
= 1 - 8x² + 3x + 1 + 6x² + x
= -2x² + 4x + 2 [-2(x² - 2 - 1)]
