Question Function Evaluate the derivative Find the domain Find the t-intercept/zero Load more v′=8t3 Evaluate v=2t4Take the derivative of both sides v′=dtd(2t4)Use differentiation rule dxd(cf(x))=c×dxd(f(x)) v′=2×dtd(t4)Use dxdxn=nxn−1 to find derivative v′=2×4t3Solution v′=8t3 Show Solution Solve the equation t=248vt=−248v Evaluate v=2t4Swap the sides of the equation 2t4=vDivide both sides 22t4=2vDivide the numbers t4=2vTake the root of both sides of the equation and remember to use both positive and negative roots t=±42vSimplify the expression More Steps Evaluate 42vTo take a root of a fraction,take the root of the numerator and denominator separately 424vMultiply by the Conjugate 42×4234v×423Calculate 24v×423Calculate More Steps Evaluate 4v×423The product of roots with the same index is equal to the root of the product 4v×23Calculate the product 423v 2423vCalculate 248v t=±248vSolution t=248vt=−248v Show Solution Graph