FREE MATH AND STUDY GAMES ABOUT COMMON

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FREE MATH AND STUDY GAMES ABOUT COMMON

DERIVATIVES EXAM QUESTIONS

Actual Qs and Ans Expert-Verified Explanation

This Exam contains:

-Guarantee passing score -26 Questions and Answers -format set of multiple-choice -Expert-Verified Explanation

Question 1: Sine

Answer:

cos(x)

Question 2: Secant

Answer:

sec(x)tan(x)

Question 3: Natural Exponential

Answer:

e^x

Question 4: Sine Inverse

Answer:

1/(sqrt(1-x^2))

Question 5: Quotient Rule

Answer:

f(x)=u/v; f'(x)=(vu'+uv')/v^2

Question 6: Derivative Definition

Answer:

(f(x+h)-f(x))/h

Question 7: Cosine

Answer:

-sin(x)

Question 8: Product Rule

Answer:

f(x)=u*v; f'(x)=u*v' + v*u'

Question 9: Exponential

Answer:

b^x*ln(b)

Question 10: Logarithmic

Answer:

f(x)=logb(x); f'(x)=1/(x*ln(b))

Question 11: Inverse

Answer:

1/f'(x0), y0=f(x0)

Question 12: Cont Checklist #3

Answer:

lim(x-->a) f(x) = f(a)

Question 13: Cosecant

Answer:

-csc(x)cot(x)

Question 14: Sum Rule

Answer:

f(x) = u+v; f'(x) = u'+v'

Question 15: Tangent

Answer:

sec^2(x)

Question 16: Constant Rule

Answer:

f(x) = c; f'(x) = 0

Question 17: Cosecant Inverse

Answer:

-1/(|x|sqrt(x^2-1))

Question 18: Cont Checklist #1

Answer:

f(a) is defined

Question 19: Power Rule

Answer:

f(x) = x^n; f'(x) = nx^n-1

Question 20: Cotangent Inverse

Answer:

-1/(1+x^2)

Question 21: Secant Inverse

Answer:

1/(|x|sqrt(x^2-1))

Question 22: Cont Checklist #2

Answer:

lim(x-->a) f(x) exists

Question 23: Cosine Inverse

Answer:

-1/(sqrt(1-x^2))

Question 24: Natural Log

Answer:

1/x

Question 25: Cotangent

Answer:

-csc^2(x)

Question 26: Tangent Inverse

Answer:

1/(1+x^2)