Question

2. Find the indicated derivatives, and simplify as appropriate. (a) Find $f'(t)$ if $f(t) = \frac{t^3 - 5}{2t^3 + 4}$ (b) Find $y'$ if $y = tan^2(x^2 + 5)$ (c) Find $f''(x)$ if $f(x) = 2e^{x^2 + 1}$ (d) Find $\frac{dy}{dx}$ if $y^3 - x^2 \cos y = 1$

          2. Find the indicated derivatives, and simplify as appropriate.
(a) Find $f'(t)$ if $f(t) = \frac{t^3 - 5}{2t^3 + 4}$
(b) Find $y'$ if $y = tan^2(x^2 + 5)$
(c) Find $f''(x)$ if $f(x) = 2e^{x^2 + 1}$
(d) Find $\frac{dy}{dx}$ if $y^3 - x^2 \cos y = 1$

2. Find the indicated derivatives, and simplify as appropriate.
(a) Find f'(t) if f(t) = (t^3 - 5)/(2t^3 + 4)
(b) Find y' if y = tan^2(x^2 + 5)
(c) Find f”(x) if f(x) = 2e^x^2 + 1
(d) Find (dy)/(dx) if y^3 - x^2 cos y = 1

Added by David O.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sai Sai

02/21/2022

Step 1

Step 1: To find the derivative of f(t) = t^3 - 5√(2r^3 + 4), we need to apply the power rule and the chain rule. Show more…

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Please solve the problems (a)-(d) ASAP! Thank you. 2. Find the indicated derivatives, and simplify as appropriate. (a) Find f' if f(t) = t^3 - 5√(2r^3 + 4). (b) Find y' if y = tan^2(x). (c) Find f''(x) if f(x) = 2e^x. (d) Find the derivative of g(x) = √(x^2 + 1).