Question
Function
Find the first partial derivative with respect to n
Find the first partial derivative with respect to t
∂n∂g=t1
Simplify
g=tn
Find the first partial derivative by treating the variable t as a constant and differentiating with respect to n
∂n∂g=∂n∂(tn)
Use differentiation rule ∂x∂(g(x)f(x))=(g(x))2∂x∂(f(x))×g(x)−f(x)×∂x∂(g(x))
∂n∂g=t2∂n∂(n)t−n×∂n∂(t)
Use ∂x∂xn=nxn−1 to find derivative
∂n∂g=t21×t−n×∂n∂(t)
Use ∂x∂(c)=0 to find derivative
∂n∂g=t21×t−n×0
Any expression multiplied by 1 remains the same
∂n∂g=t2t−n×0
Any expression multiplied by 0 equals 0
∂n∂g=t2t−0
Removing 0 doesn't change the value,so remove it from the expression
∂n∂g=t2t
Solution
More Steps

Evaluate
t2t
Use the product rule aman=an−m to simplify the expression
t2−11
Reduce the fraction
t1
∂n∂g=t1
Show Solution

Solve the equation
Solve for n
Solve for t
n=gt
Evaluate
g=tn
Swap the sides of the equation
tn=g
Cross multiply
n=tg
Solution
n=gt
Show Solution
