alleryStart learning →The derivative of $e^{2x}$ with respect to $x$ is:
- $2x e^{2x-1}$
- $e^{2}$
- $2e^{2x}$
- $e^{2x}$
Show answer and solution
Correct answer: C. $2e^{2x}$
By the chain rule, d/dx(e^{2x}) = e^{2x}·2 = 2e^{2x}.
Indian Navy SSR (Sailor) Continuity and Differentiability — practice questions
Explore 23 free Continuity and Differentiability questions in Indian Navy SSR (Sailor) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Continuity and Differentiability with Quill →Continuity and Differentiability questions and exercises with answers
Showing questions 1–23 of 23.
The derivative of $e^{2x}$ with respect to $x$ is:Read the answer and worked solution →Complete the definition of continuityRead the answer and worked solution →True or false: continuity and differentiabilityRead the answer and worked solution →Which way does the implication run?Read the answer and worked solution →Tap every operation that preserves continuityRead the answer and worked solution →Combining continuous functionsRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Complete the chain rule ideaRead the answer and worked solution →Flip and pair: rule with what it handlesRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Order the test for continuity at a pointRead the answer and worked solution →True or false: reading the definitionsRead the answer and worked solution →Where continuity can failRead the answer and worked solution →Which property is stronger?Read the answer and worked solution →True or false: combining functionsRead the answer and worked solution →Flip and pair: condition with what followsRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Assertion and reason: continuityRead the answer and worked solution →Tap every requirement for continuity at a pointRead the answer and worked solution →Two true, one falseRead the answer and worked solution →Complete the one-way implicationRead the answer and worked solution →
Worked practice questions
Complete the definition of continuity
Read exercise and reference answers
- Missing parts
- Answer
- limit
- Choices
- limit
- derivative
- integral
- Answer
- value
- Choices
- value
- slope
- sign
- Answer
- domain
- Choices
- domain
- range
- graph
- Complete the statement
- A real valued function is continuous at a point in its domain if the {0} of the function at that point equals the {1} of the function there. It is continuous outright if this holds on the whole of its {2}.
Continuity at a point compares two things: the limit and the value. Source: syllabus Maths, Ch 5 Continuity and Differentiability.
True or false: continuity and differentiability
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- Questions
- Statement is true
- Yes
- Statement
- Every differentiable function is continuous.
- Statement is true
- No
- Statement
- Every continuous function is differentiable.
- Statement is true
- Yes
- Statement
- The converse of the first statement is not true.
- Statement is true
- Yes
- Statement
- Differentiability is the stronger condition.
- Statement is true
- Yes
- Statement
- A function can be continuous without being differentiable.
The implication runs one way only, and the chapter says so. Source: syllabus Maths, Ch 5 Continuity and Differentiability.
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