If f(x) = ex and g(x) = loge x then find (5g)(1).

If f(x) = e^x and g(x) = log_ex then find (5g)(1).

One Line Answer

(5g) (1) = 5 (g) (1) = 5 \[\log_{e}^{1}\] = 5 × 0 = 0

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Chapter 5: Differential Calculus - Exercise 5.1 [Page 105]

Chapter 5 Differential Calculus
Exercise 5.1 | Q 6. (iv) | Page 105

Determine whether the following function is odd or even?

f(x) = x² – |x|

For f(x) = `(x - 1)/(3x + 1)`, write the expressions of `"f"(1/x) and 1/("f"(x))`

If f(x) = e^x and g(x) = log_ex then find (f + g)(1)

If f(x) = e^x and g(x) = log_ex then find (fg)(1).

If f(x) = e^x and g(x) = log_ex then find (3f) (1).

If f(x) = `(1 - x)/(1 + x)` then f(-x) is equal to:

The graph of the line y = 3 is

The minimum value of the function f(x) = |x| is:

Which one of the following functions has the property f(x) = `"f"(1/x)`?

The range of f(x) = |x|, for all x ∈ R is: