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Chapter 2: Q 5. (page 237)

Translate expressions written in Leibniz notation to 鈥減rime鈥� notation, and vice versa.

dydx

Short Answer

Expert verified

dydx=y'x

Step by step solution

01

Given Information

The given expression isdydx

02

Simplification

dydxis in Leibnitz notation.

It means differentiation of function yw.r.t x

In prime notation, it is written asy'x.

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Most popular questions from this chapter

Use the limit you just found to calculate the exact slope of the tangent line to f(x)=x2at x=4. Obviously you should get the same final answer as you did earlier.

Find the derivatives of the functions in Exercises 21鈥�46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.

f(x)=1-4x2(3x2+1)9

Suppose f is ant cubic polynomial function f(x)=ax3+bx2+cx+dprove that coefficients of f a, b, c, d can be expressed in terms of values of f(x) and its derivatives at the point x=2

Prove that if f is a quadratic polynomial function f(x)=ax2+bx+cthen the coefficient of f are completely determined by the values of f(x) and its derivatives at x=0 as follows

a=f"(0)2;b=f'(0);c=f(0)

Use the definition of the derivative to find f'for each function fin Exercises39-54

f(x)=21-x
See all solutions

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