Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to x
Find the first partial derivative with respect to c
∂x∂f=5288c
Evaluate
f=59xc×32
Multiply the numbers
More Steps
Evaluate
59×32
Multiply the numbers
59×32
Multiply the numbers
5288
f=5288xc
Find the first partial derivative by treating the variable c as a constant and differentiating with respect to x
∂x∂f=∂x∂(5288xc)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂x∂f=5288c×∂x∂(x)
Use ∂x∂xn=nxn−1 to find derivative
∂x∂f=5288c×1
Solution
∂x∂f=5288c
Show Solution
Solve the equation
Solve for x
Solve for c
Solve for f
x=288c5f
Evaluate
f=59xc×32
Multiply the numbers
More Steps
Evaluate
59×32
Multiply the numbers
59×32
Multiply the numbers
5288
f=5288xc
Rewrite the expression
f=5288cx
Swap the sides of the equation
5288cx=f
Divide both sides
5288c5288cx=5288cf
Divide the numbers
x=5288cf
Solution
More Steps
Evaluate
5288cf
Multiply by the reciprocal
f×288c5
To multiply the fractions,multiply the numerators and denominators separately
288cf×5
Multiply the numbers
288c5f
x=288c5f
Show Solution