MediumDerivatives

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.1 The Derivative of a Function, #17 · Calculus · Derivatives

(d) The derivative is the limit of … divided by the limit…

True (with reason) or false (with example):

(a) If $f (t) < 0$ then $df / d t < 0$ .

(b) The derivative of $(f (t))^{2}$ is $2 df / d t$ .

(c) The derivative of $2 f (t)$ is $2 df / d t$ .

(d) The derivative is the limit of $Δ f$ divided by the limit of $Δ t$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.1 The Derivative of a Function, #17

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