Derivatives Find the derivative of the following functions. See Example 2 of Section 3.2 for the derivative of
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
- Directions: Read comprehensively and choose the best answer and explain why you chose that specific answer by showing the complete solution sets. 1. Find the derivative of the following function: f(x) = 1963 (A) + (B) 1963 (C) – (D) 0 (E) None of the above 2. Find the derivative of the following function: f(x) = x 2 + 6x + 9 (A) f "(x) = 2x + 6x + 9 (B) f '(x) = x²+ 6 (C) f '(x) = 2x + 6 (D) f (x) = 2x (E) None of the above 3. Find the derivative of the following function: f(x) = x (A) f' (x) = - V (B) f' (x) = 5x* (C) f' (x) = V3 (D) f ' (x) = 5x²Vx (E) None of the above 4. Find the derivative of the following function: f(x) = 5x²(x + 47) (A) f0 (x) = 15x 2+ 470x (D) f 0 (x) = 15x²– 470x * (B) f0 (x) = 5x ²+ 470x € None of the above €f0 (x) = 10xarrow_forwardPls help ASAP. You need to find the definition looking at the question. ASAP PLS.arrow_forwardDetermine whether the function is not differentiable using differentiability and continuity, and show the complete solution, thank you so mucharrow_forward
- PART I: Write an expression that is complex enough to be differentiated using the: • Product Rule • Chain Rule Post your expression to the discussion board for the next student to differentiate. PART II: Respond to the previous post with an answer to the derivative problem posed in that post. If you are the first student posting, find the derivative of the following function: 2 f(z) = (2x − 1) (x³ — 2) ² -arrow_forwardWhat do the derivatives of a function tell you about the shape of its graph?arrow_forward
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