Вопрос
Function
Find the first partial derivative with respect to h
Find the first partial derivative with respect to b
∂h∂a=21b3
Evaluate
a=21h(b×1×b2)
Remove the parentheses
a=21hb×1×b2
Multiply the terms
Больше Шагов
Evaluate
21hb×1×b2
Rewrite the expression
21hb×b2
Multiply the terms with the same base by adding their exponents
21hb1+2
Add the numbers
21hb3
a=21hb3
Find the first partial derivative by treating the variable b as a constant and differentiating with respect to h
∂h∂a=∂h∂(21hb3)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂h∂a=21b3×∂h∂(h)
Use ∂x∂xn=nxn−1 to find derivative
∂h∂a=21b3×1
Решение
∂h∂a=21b3
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Solve the equation
Solve for a
Solve for b
Solve for h
a=21hb3
Evaluate
a=21h(b×1×b2)
Remove the parentheses
a=21hb×1×b2
Решение
Больше Шагов
Evaluate
21hb×1×b2
Rewrite the expression
21hb×b2
Multiply the terms with the same base by adding their exponents
21hb1+2
Add the numbers
21hb3
a=21hb3
Показать решение