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1) Use the definition of the partial derivative to find af given, əx f (x, y) = x²y + 2x + y³ %3D 2) Use logarithmic differentiation to find where ду se 1 f(x,y) = e**y° (x² + 1)7 %3D 3) Find the tangent plane at the point P(1,1), to the surface z = x2 + y2 + 8 4) Use differentials to approximate the value of (1.03)² + (1.98)2 5) Show that the function is NOT differentiable ху (x, y) # (0,0) h(x,y) = - x² + y² (x, y) = (0,0)

1) Use the definition of the partial derivative to find af given, əx f (x, y) = x²y + 2x + y³ %3D 2) Use logarithmic differentiation to find where ду se 1 f(x,y) = e**y° (x² + 1)7 %3D 3) Find the tangent plane at the point P(1,1), to the surface z = x2 + y2 + 8 4) Use differentials to approximate the value of (1.03)² + (1.98)2 5) Show that the function is NOT differentiable ху (x, y) # (0,0) h(x,y) = - x² + y² (x, y) = (0,0)

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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se 1) Use the definition of the partial derivative to find əx , given, f (x,y) = x²y + 2x + y3 %3| 2) Use logarithmic differentiation to find af where ду 1 f(x, y) = ex*y° (x² + 1)7 %3| 3) Find the tangent plane at the point P(1,1), to the surface z = x2 + y? + 8 4) Use differentials to approximate the value of (1.03)² + (1.98)2 5) Show that the function is NOT differentiable ху (х, у) # (0,0) h(x,y) = {/x² + y² 0, (x, y) = (0,0)
Transcribed Image Text:se 1) Use the definition of the partial derivative to find əx , given, f (x,y) = x²y + 2x + y3 %3| 2) Use logarithmic differentiation to find af where ду 1 f(x, y) = ex*y° (x² + 1)7 %3| 3) Find the tangent plane at the point P(1,1), to the surface z = x2 + y? + 8 4) Use differentials to approximate the value of (1.03)² + (1.98)2 5) Show that the function is NOT differentiable ху (х, у) # (0,0) h(x,y) = {/x² + y² 0, (x, y) = (0,0)
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