Question

2. (10 pts) Find each of the derivatives below and simplify each answer. (a) (1 pt) $y = 3x^6 + 4x^5 + 25x + 11$; find $\frac{dy}{dx}$ (b) (2 pts) $f(x) = \frac{12}{x^5 + 3}$; find $\frac{df}{dx}$ (c) (1 pt) $h(y) = y^8 + 19$; find $\frac{dh}{dy}$ (d) (2 pts) $g(t) = (3t^6 + 5t)^7$; find $\frac{dg}{dt}$ (note: you do not need to simplify the answer to this) (e) (4 pts) $p(t) = 5t \ln(6t^4 + t)$; find $\frac{dp}{dt}$

          2. (10 pts) Find each of the derivatives below and simplify each answer.
(a) (1 pt) $y = 3x^6 + 4x^5 + 25x + 11$; find $\frac{dy}{dx}$
(b) (2 pts) $f(x) = \frac{12}{x^5 + 3}$; find $\frac{df}{dx}$
(c) (1 pt) $h(y) = y^8 + 19$; find $\frac{dh}{dy}$
(d) (2 pts) $g(t) = (3t^6 + 5t)^7$; find $\frac{dg}{dt}$ (note: you do not need to simplify the answer to this)
(e) (4 pts) $p(t) = 5t \ln(6t^4 + t)$; find $\frac{dp}{dt}$

2. (10 pts) Find each of the derivatives below and simplify each answer.
(a) (1 pt) y = 3x^6 + 4x^5 + 25x + 11; find (dy)/(dx)
(b) (2 pts) f(x) = (12)/(x^5 + 3); find (df)/(dx)
(c) (1 pt) h(y) = y^8 + 19; find (dh)/(dy)
(d) (2 pts) g(t) = (3t^6 + 5t)^7; find (dg)/(dt) (note: you do not need to simplify the answer to this)
(e) (4 pts) p(t) = 5t ln(6t^4 + t); find (dp)/(dt)

Added by Alicia C.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Adi S

09/14/2023

Step 1

(a) y = 3x + 4x^5 + 25x + 11 Show more…

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2. (10 pts) Find each of the derivatives below and simplify each answer. (a) (1 pt) y=3x+4x5+25x+11;find xp 12 Jp (b)(2 pts) f(x)= : find xp dh (c) (1pt) h(y)=y+19;find dy (d) (2 pts) g(t)=(3t+5t);find 6p (note: you do not need to simplify the answer to this) +p (e) (4 pts) p(t)=5t.ln(6t4+t);find dp tp