Question Function Evaluate the derivative Find the domain Find the t-intercept/zero Load more h′(t)=−400t3 Evaluate h(t)=−5t2×20t2Simplify More Steps Evaluate −5t2×20t2Multiply the terms −100t2×t2Multiply the terms with the same base by adding their exponents −100t2+2Add the numbers −100t4 h(t)=−100t4Take the derivative of both sides h′(t)=dtd(−100t4)Use differentiation rule dxd(cf(x))=c×dxd(f(x)) h′(t)=−100×dtd(t4)Use dxdxn=nxn−1 to find derivative h′(t)=−100×4t3Solution h′(t)=−400t3 Show Solution Graph