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Derivatives

Finding Derivatives Variables

Y =c/(1+ y/x^2)^1/2 a is a variable x is a variable c is a constant y is a constant I need to differentiate a with respect to x. Please see the attached file for the fully formatted problems.

Finding Derivatives (12 Problems)

Answers and working to the questions: 1. Obtain dy for the following expressions. dx (a) y = (5x + 4)3 (b) y = (3 - 2x)5 (c) y = square root (5 - 0.6x) (d) y = (2 + 3x)-0.6 2. Differentiate the following with respect to o. (a) f(o) = sin(5o - 2) (b) f(o) = cos(4 - 3o) (c)

Derivatives and Rate of Change of Curves

See the attached file. 1: Both forms of the definitions of the derivative of a function f at number a. 2: A 13ft ladder is leaning against a wall. If the top of the ladder slips down the wall at a rate of 2ft/sec how fast will the foot of the ladder be moving away from the wall when the top is 5ft above the ground? 3: y':

Derivatives and Tangents to a Curve

Here's what I have so far. I'm writing an equation for a line tangent to the curve y = at point P(-1,7). Using the power rule for a negative integer I found f(x) = . I'm still having some problems with my derivatives. You can see my work below but I've made a mistake somewhere. I don't need help with anything other th

Derivatives

Given f(x)=(x^2+3*x+1)^5 / (x+3)^5 , identify a function u of x and an integer n not equal to 1 such that f(x)=u^n. Then compute f'(x).

Derivative Functions Written

Write down the derivative of each of the following functions. f(x)=e^-2x. (thats e to the power minus2x). g(x)=sin(7x). Hence by using the product rule,differtiate k(x)=e^-2xsin(7x)

Differentiation

Differentiation of functions. Please see the attached file for the functions.