True or false, with a good reason: (a) The derivative of …

True or false, with a good reason:
(a) The derivative of $x^{2n}$ is $2n{x}^{2n-1}$.
(b) By linearity the derivative of $a(x)u(x)+b(x)v(x)$ is $a(x)du/dx+b(x)dv/dx$.
(c) The derivative of $|x{|}^3$ is $3|x{|}^2$.
(d) ${\tan }^{2}x$ and ${\sec }^{2}x$ have the same derivative.
(e) $(uv{)}^{\prime }=u^{\prime }{v}^{\prime }$ is true when $u(x)=1$.

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.5 The Product and Quotient and Power Rules, #39