Differentiate: y=sin^2(x)- cos^2(x). Use the fundamental identities to fully simplify the expression. \tan x \sin x + \sec x \cos^2x Evaluate \int_0^{\pi} \sin^2x \, dx. Factor and simplify. 9 cos^2 x + 18 cos x + 9 A) 9 sin^2 x B) (9 cos x + 1)(cos x ...
a) Differentiate y=exx,y=exx2, and y=exx3 b) What do you anticipate the derivative of y=exxnwill be? Confirm your guess. Ratio Rule for Function Differentiating: If the function can be represented as ...
The aim is to find the slope of the tangent at the given point and hence we need to differentiate the equation. d/dx (y) = d/dx (2x2+ 3x + 1) dy/dx = 4x + 3 The slope at at point (-1, 0) is m = 4(-1) + 3 = -1 Answer:Hence the slope of the tangent at the g...
Technically, you didn't differentiate equation 1 -- you took the differential of each side. If you differentate equation 1 with respect to x, you get (2) eixi = -sin(x) + icos(x) If you divide both sides by i, and do the usual trick of multiplying ##\frac{-\sin(x)}{i}##...
To apply L'Hopital's rule to evaluate alimitlimx → af(x)/g(x): First check whether f(a)/g(a) results in an indeterminate form such as 0/0, ∞/∞, etc. If so, find thederivativesf'(x) and g'(x). Then the given limit is obtained by evaluating the limit limx → af'(x...
Microprocessors 2 Control systems +some undecided electives. This looks a lot like a EE program. At a minimum, you will need differential equations to get set up for Laplace Transforms and probably Fourier Series. You will absolutely need Laplace for Control Systems. Bottom line, engineering is ...
What is the derivative of y=sin3(x)+sin(x3)? Differentiation : In this question, we use the chain rule of differentiation. This will help us to differentiate the function with a step-by-step method. Also, we use the following identity of differentiation. ddx(sin(x))=cos...
How to differentiate a vector product? What is the cross product of two parallel vectors? How does vector quantity differ from a scalar? What value(s) can you choose for k so that the vector (1/3, k) is a unit vector? Given two vectors, what is the rotation matrix? Which two unit...
from Chapter 12 / Lesson 8 8.7K The linear properties of definite integrals allow complex problems to be solved. Learn how to differentiate between and to use the zero integral property, backward property, constant property, additive property, and sums property. Related...
6 + (2x + 2z) - (6 + 2z) + 2z What property is demonstrated by b + 0 = b? What is a platonic solid? What is the easiest way to differentiate assets from expenses? What is a zero product property? Which property allows you to write 4 = x as x = 4? What is the reflexive...