Question Function Find the first partial derivative with respect to c Find the first partial derivative with respect to t ∂c∂q=t Simplify q=ctFind the first partial derivative by treating the variable t as a constant and differentiating with respect to c ∂c∂q=∂c∂(ct)Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x)) ∂c∂q=t×∂c∂(c)Use ∂x∂xn=nxn−1 to find derivative ∂c∂q=t×1Solution ∂c∂q=t Show Solution Solve the equation Solve for c Solve for t c=tq Evaluate q=ctRewrite the expression q=tcSwap the sides of the equation tc=qDivide both sides ttc=tqSolution c=tq Show Solution
Algebra
Calculus
Trigonometry
Matrix Algebra Calculus Trigonometry Matrix