derivatives of exponential functions1 [Notes & HW Answers] 3.2 The Exponential Functions [Prepwork 3.2] Q1. Let f (x) = x^10 +10^x. Find the first and second derivatives of f(x). A: f'(x) = 10x^9 + (ln 10)10^x ; f''(x) = 90x^8+(ln 10)(ln10)10^x Q2. For what value of a is y = 1+5x the tangent line for y = ax at x = 0? A: a = e^5 [HW 3.2] Q1. Find the derivative of y = 4x^8+8^x+12. A: dy/dx = 32x^7 + (ln 8)8^x Q2. Find the derivative of z = (ln 10)e^x. A: dz/dx = (ln 10)e^x. Q3. Find .. 2022. 10. 28. 이전 1 다음