WebCalculus. Find the Derivative - d/dx 2x^ (3/2) 2x3 2 2 x 3 2. Since 2 2 is constant with respect to x x, the derivative of 2x3 2 2 x 3 2 with respect to x x is 2 d dx [x3 2] 2 d d x [ x 3 2]. 2 d dx [x3 2] 2 d d x [ x 3 2] Differentiate using the Power Rule which states that d dx [xn] d d x [ x n] is nxn−1 n x n - 1 where n = 3 2 n = 3 2. WebWhat is the derivative of 3 x? Medium Solution Verified by Toppr Begin by letting y=3 x now take the ln of both sides. ln y=ln 3 x⇒ln y=x ln 3 differentiate implicitly with respect to x ⇒ y1dxdy=ln 3 ⇒ dxdy=y ln 3 Now y=3 x⇒ dxdy=3 xln 3 This result can be generalised as follows: dxd (a x)=a xln a. Was this answer helpful? 0 0 Similar questions
Find the Derivative - d/d@VAR f(x)=x^(3/2) Mathway
WebThe Derivative Calculator lets you calculate derivatives of functions online — for free! Our calculator allows you to check your solutions to calculus exercises. It helps you practice by showing you the full working (step by step differentiation). The Derivative Calculator … For those with a technical background, the following section explains how the … WebWhen Sal applies the power rule to f(x), wouldn't it become 1/2*x^(-3/2) instead of 1/2*x^(-1/2) because the power rule does state that you subtract one from the exponent? ... So … aralia jamaica
derivative of x^2 - Wolfram Alpha
WebThe derivative of f(x) = x^3 - 6x^2 + 9x is f'(x) = 3x^2 - 12x + 9. Setting f'(x) = 0, we have 3x^2 - 12x + 9 = 0, which can be solved using the quadratic formula to find x = 1 and x = 3. These are the critical points of the function. ... Find the critical points of the function f(x) = x^3 + 3x^2 - 9x Solution: To find the critical points, we ... WebAug 18, 2016 · Using the constant rule d/dx af (x) = a [d/dx f (x)] d/dx [8*3^x] = 8 [d/dx 3^x] So you don't differentiate 8 in this case. Had it been d/dx 8+3^x then you would use the sum rule, d/dx f (x) + g (x) = d/dx f (x) + d/dx g (x). d/dx 8 + 3^x = d/dx 8 + d/dx 3^x = 0 + ln (3) … Web19. Write the first derivative of the following function in the space provided on the answer sheet Z = 50 + 2 X 2 − 4 X 3 + 5 X 5 20. Write the first derivative of the following function in the space provided on the answer sheet: Y = 100 + 6 X 3 − 5 X − 2 + 7 X 3 2 aralia meaning