WebFind the derivative of y = x^2: Solution: y' = 2x. Find the definite integral of x^2 from 0 to 2: Solution: ∫_0^2 x^2 dx = [x^3/3]_0^2 = (8/3) - (0/3) = 8/ Find the minimum value of the function y = x^2 + 2x + 1: Solution: To find the minimum, take the derivative of the function and set it equal to zero: y' = 2x + 2 = 0, x = -1. So the ... Webderivative of 3^x. Natural Language. Math Input. Use Math Input Mode to directly enter textbook math notation.
What is the antiderivative of 3/x^2? Socratic
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 WebSo for example d/dx (f1 * f2 * f3)= f_1' f_2 f_3 + f_2' f_1 f_3 + f_3' f_1 f_2. We will prove this by induction. Base case: This would just be a standard proof of the product rule for two functions. ... So everything that we had the derivative of g of x times h of x is this stuff right over here. And so we're going to multiply that times f of x ... early screw attack dread
calculus - Derivative of 3^(x/2) - Mathematics Stack …
WebJul 26, 2024 · Example 2: Partial Derivative Matlab. Find the partial derivative of f(x, y)= x^3+ x^2 \cdot y^3- 2y^2 with respect to x . Also, determine the partial derivative of f with respect to y . Again, we first define x and y as the two arguments of the function f . Then, we compute the partial derivatives using Matlab. WebCalculate the derivative of x 2 + 3 x Solution Step 1: Apply the derivative notation in the given expression. d d x ( x 2 + 3 x) Step 2: To solve the above function, apply the sum and the power rule. d d x ( x 2 + 3 x) = d d x ( x 2) + d d x ( 3 x) d d x ( x 2 + 3 x) = 2 x 2 − 1 + 3 x 1 − 1 d d x ( x 2 + 3 x) = 2 x 1 + 3 x 0 WebCalculus. Find the Derivative - d/dx (x^2)/3. x2 3 x 2 3. Since 1 3 1 3 is constant with respect to x x, the derivative of x2 3 x 2 3 with respect to x x is 1 3 d dx [x2] 1 3 d d x [ x … early screening for ncd