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Calculus Questions - All Grades

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College Integrals
Find the following indefinite integral.
∫(8x8-6)dx
  1. 89x9+C
  2. 64x7+C
  3. 89x9-6x+C
  4. 89x9-6+C
Grade 12 Derivatives
Differentiate. f(x)=3x5-2x2-7x-3+9x-4
  1. f(x)=15x4-4x-21x-2+36x-3
  2. f(x)=15x4-4x+21x-4-36x-5
  3. f(x)=15x4-4x+21x2-36x5
  4. f(x)=15x4-4x-21x-4+36x-5
College Integrals
Find the following indefinite integral.
∫(-3x+2x-14-8ex)dx
  1. -ln(|x|)-83x34-8ex+C
  2. -13ln(|x|)+83x34-8ex+C
  3. -3ln(|x|)+83x34-8ex+C
  4. -3ln(|x|)+83x34-8xex+C
Grade 12 Derivatives
What is the derivative of f(x)=3x2-x+8?
  1. f′(x)=6x-1
  2. f′(x)=6x+8
  3. f′(x)=3x
  4. f′(x)=9x+7
Grade 12 Derivatives
What is the derivative of f(x)=23π?
  1. f′(x)=23π
  2. f′(x)=π
  3. f′(x)=0
  4. f′(x)=23
Grade 12 Derivatives
What is the derivative of f(x)=2√x7-54√x3+93√x2-66√x5?
  1. f′(x)=x3-52√x+926√x+33√x4
  2. f′(x)=7√x5-2034√x+323√x-56√x11
  3. f′(x)=7√x5-1544√x+63√x+56√x11
  4. f′(x)=14x3-15√x+183√x+303√x2
Grade 12 Integrals
Find the value of the integral ∫10exex+1dx.
  1. ln(e+12)
  2. e-12
  3. ln(e-1)
  4. e+1
Grade 12 Derivatives
What is the derivative of f(x)=3x4?
  1. f′(x)=3x3
  2. f′(x)=12x
  3. f′(x)=12x3
  4. f′(x)=4x
Grade 12 Integrals
Find the value of the integral ∫21x2+1xdx.
  1. 12ln2
  2. 1+ln2
  3. 32+ln2
  4. 32-ln2
Grade 12 Derivatives
Find the derivative. f(x)=4√x+3
  1. f′(x)=4√x
  2. f′(x)=4√x+13
  3. f′(x)=2
  4. f′(x)=2√x
Grade 12 Derivatives
On what intervals is the function f(x)=3x3+2x2 concave upwards and downwards?
  1. concave upward (-29,∞), concave downward (-∞,-29)
  2. concave upward (-∞,-29), concave downward (-29,∞)
  3. concave upward (0,∞), concave downward (-∞,0)
  4. concave upward (-∞,0), concave downward (0,∞)
Grade 12 Derivatives
Find the derivative. f(x)=99x
  1. f′(x)=99
  2. f′(x)=x
  3. f′(x)=99x
  4. f′(x)=100
Grade 12 Derivatives
Differentiate. f(x)=2x6
  1. f′(x)=6
  2. f′(x)=6x5
  3. f′(x)=12x5
  4. f′(x)=12
Grade 12 Derivatives
Calculate the derivative. f(x)=8x2-5x+3
  1. f′(x)=8x
  2. f′(x)=16x-5x
  3. f′(x)=2x-5
  4. f′(x)=16x-5
Grade 12 Derivatives
Find the derivative. f(x)=4x3-3√x3+√x
  1. f′(x)=12x2-92√x+12√x
  2. f′(x)=12x2+2√x
  3. f′(x)=4x2-9√x+1
  4. f′(x)=64x2+9√x-1√x
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