Calculus 3 Exam 2 Formula Sheet
dz
dt =∂z
∂x⋅d x
dt +∂z
∂y⋅d y
dt
Fx(x0, y0, z 0)( x−x0)+Fy(x0, y0, z0)( y−y0)+ Fz(x0, y0, z0)( z−z0)=0
Duf(x , y)= fx(x , y )cos(θ)+ fy(x , y )sin (θ)
∇f(x , y)= fx(x , y )i+fy(x , y )j
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Calculus 3 formulas (Midterm formula sheet)
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2024/2025
Uploaded on 09/23/2025
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Calculus 3 Exam 2 Formula Sheet dz dt
∂ z ∂ x
d x dt
∂ z ∂ y
d y dt F (^) x ( x 0 , y 0 , z 0 )( x−x 0 )+F (^) y( x 0 , y 0 , z 0 )( y− y 0 )+F (^) z ( x 0 , y 0 , z 0 )( z−z 0 )= 0 D u f ( x , y)= f (^) x ( x , y)cos(θ)+ f (^) y ( x , y)sin (θ) ∇ f ( x , y)= f (^) x ( x , y) i + f (^) y ( x , y) j