WebQuestion. Transcribed Image Text: (a) Find a function f that has y = 4 – 3x as a tangent line and whose derivative is equal to ƒ' (x) = x² + 4x + 1. (b) Find the area under the curve for f (x) = x³ on [−1, 1]. e2t - 2 (c) Determine where the function is f (x) = cos (t²-1) + 3 (d) Express ² sin (x²) dx as limits of Riemann sums, using ... WebMar 23, 2024 · Here we got a derivative of a product 1 2 (xln(x4))− 1 2 ⋅ [(x')ln(x4) + x(ln(x4))'] 1 2 (xln(x4))− 1 2 ⋅ [1 ⋅ ln(x4) +x( 1 x4 ⋅ 4x3)] Just using basic algebra to get a semplified version: 1 2 (xln(x4))− 1 2 ⋅ [ln(x4) + 4] And we get the solution: ln(x4) + 4 2√xln(x4) By the way you can even rewrite the inital problem to make it more simple:
How do you find the derivative of #sqrt(x ln(x^4))#? - Socratic.org
Webnth Derivative Calculator nth Derivative Calculator n f (x) = Submit Computing... Derivative: Need a step by step solution for this problem? >> Get this widget Added Dec 20, 2011 by Biderman in Mathematics Calculates any number of derivatives of any function. Send feedback Visit Wolfram Alpha WebA: Click to see the answer. Q: Given that lim f (x) = -7 and lim g (x) = 8, find the following limit. X→2 X→2 lim [5f (x) + g (x)] X→2…. A: given limx→2f (x)=-7limx→2g (x)=8let B=limx→25f (x)+g (x) Q: cot (x - y): = a Reciprocal Identity, and then use a Subtraction Formula. 1 cot (x - y) = COL (x)…. darkwing comic
Calculating the nth Derivative of Cos(X) Physics Forums
WebJan 15, 2006 · f"(x) = -cos(x) 2nd derivative f"'(x) = sin(x) 3rd derivative f""(x) = cos(x) 4th derivative. and it would repeat after this right... see the pattern for a given n the nth derivative of cosine x can only be one of those 4 choices right. so if n/4 has a remainder of 1 the nth derivative is -sin(x) if n/4 has a remainder of 2 the nth derivative ... WebThe chain rule of partial derivatives is a technique for calculating the partial derivative of a composite function. It states that if f (x,y) and g (x,y) are both differentiable functions, and y is a function of x (i.e. y = h (x)), then: ∂f/∂x = ∂f/∂y * ∂y/∂x What is … WebFind the derivative of x 4+4 Medium Solution Verified by Toppr According to first principle: f(x)= h→0lim hf(x+h)−f(x) Here, f(x)=x 4+4 (x 3)= h→0lim h(x+h) 4+4−x 4−4 = h→0lim hx 4+4x 3h+6x 2h 2+4xh 3+h 4−x 4 = h→0lim h4x 3h+6x 2h 2+4xh 3+h 4 = h→0lim4x 3+6x 2h+4xh 2+h 3 = 4x 3 Solve any question of Limits And Derivatives with:- darkwing duck a brush with oblivion watch