Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for x
Solve for y
Solve for z
x=y−7+z
Evaluate
z−xy=7
Rewrite the expression
z−yx=7
Move the expression to the right-hand side and change its sign
−yx=7−z
Divide both sides
−y−yx=−y7−z
Divide the numbers
x=−y7−z
Solution
More Steps
Evaluate
−y7−z
Use b−a=−ba=−ba to rewrite the fraction
−y7−z
Rewrite the expression
y−7+z
x=y−7+z
Show Solution
Find the partial derivative
Find ∂x∂z by differentiating the equation directly
Find ∂y∂z by differentiating the equation directly
∂x∂z=y
Evaluate
z−xy=7
Find ∂x∂z by taking the derivative of both sides with respect to x
∂x∂(z−xy)=∂x∂(7)
Use differentiation rule ∂x∂(f(x)±g(x))=∂x∂(f(x))±∂x∂(g(x))
∂x∂(z)−∂x∂(xy)=∂x∂(7)
Evaluate
∂x∂z−∂x∂(xy)=∂x∂(7)
Evaluate
More Steps
Evaluate
∂x∂(xy)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
y×∂x∂(x)
Use ∂x∂xn=nxn−1 to find derivative
y×1
Multiply the terms
y
∂x∂z−y=∂x∂(7)
Find the partial derivative
∂x∂z−y=0
Move the expression to the right-hand side and change its sign
∂x∂z=0+y
Solution
∂x∂z=y
Show Solution