WebFind the fourth derivative of f ( x) = 2 x5 f (4) ( x) = [2 x5 ]'''' = [10 x4 ]''' = [40 x3 ]'' = [120 x2 ]' = 240 x Derivative on graph of function The derivative of a function is the slop of the tangential line. Derivative rules Derivative sum rule When a and b are constants. ( a f ( x) + bg ( x ) ) ' = a f ' ( x) + bg' ( x) Example: WebJan 4, 2024 · At x = 0, e 4x = e 0 = 1. Thus, the function equals 1 at x = 0 and it's derivative, 4e 4x = 4e 0 = 4(1) = 4 at x = 0. We see the function crossing the vertical …
Answered: Find the derivative of the function. 5… bartleby
WebExpert Answer. 1st step. All steps. Final answer. Step 1/1. The first derivative of f ( x) = 1 5 x 4 − 6 x will be. Apply basic rules of exponents. d d x [ ( 5 x 4 − 6 x) − 1 2] Differentiate … WebDerivative calculator This calculator computes first second and third derivative using analytical differentiation. You can also evaluate derivative at a given point. It uses product quotient and chain rule to find derivative of any function. The calculator tries to simplify result as much as possible. error f (x) = f ′(x) = incorrect syntax das ritual des wassers
How do you differentiate #y=-5^(4x^3)#? - Socratic.org
WebFeb 23, 2010 · What is the derivative of the square root of 4x plus 25? I believe you are asking: What is the derivative (d/dx) of (4x+25)^0.5 If this is indeed the case, the derivative d((4x+25)^0.5)/dx = 0.5*(4x+25)^-0.5*4 = 2(4x+25)^-0.5 That is, 2 times the quantity (4x+25) to the negative 1/2 power. WebWell the derivative of 5x with respect to x is just equal to 5. And the derivative of negative 3y with respect to x is just negative 3 times dy/dx. Negative 3 times the derivative of y with respect to x. And now we just need to solve for dy/dx. And as you can see, with some of these implicit differentiation problems, this is the hard part. WebThe part of the plane 4x + 4y + z = 16 that lies inside the cylinder… A: To compute the surface area of the region we use the double integrals formula… Q: Consider the upper-triangular matrix A = Complete the following statements. bitewash