Differentiate the following function with respect to (x):3^x+x^3+…

Question

Differentiate the following function with respect to $(\text{x})$:$3^\text{x}+\text{x}^3+3^3$

✓

Answer

We have to differentiate $\text{f}(\text{x})$ with respect to $\text{x}$$\frac{\text{d}}{\text{dx}}(3^\text{x}+\text{x}^3+3^3)$
$=\frac{\text{d}}{\text{dx}}(3^\text{x})+\frac{\text{d}}{\text{dx}}(\text{x}^3)+\frac{\text{d}}{\text{dx}}(3^3)$
$=3^\text{x}\log3+3\text{x}^2+0\ \Bigg[\because\frac{\text{d}}{\text{dx}}(\text{a}^\text{x})=\text{a}^\text{x}\log\text{a}\Bigg]$
$=3^\text{x}\log3+3\text{x}^2$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "(Each question 2 marks)" from Derivatives→Derivatives — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the derivative of cos x from first principle.

→

Find the equation of the line parallel to x-axis and having intercept -2 on y-axis.

→

If $A = \{1, 2, 3, 4, 5\}, B = \{4, 5, 6, 7, 8\}, C = \{7, 8, 9, 10, 11\},$ and $D = \{10, 11, 12, 13, 14\}.$ Find: $\text{B}\cup\text{C}\cup\text{D}$

→

Events E and F are such that P (not E or not F) = 0.25 state whether E and F are mutually exclusive.

→

In a school, there are 20 teachers who teach mathematics or physics. Of these, 12 teach mathematics and 4 teach physics and mathematics. How many teach physics?

→

Draw the lines x = -3, x = 2, y = -2, y = 3 and write the coordinates of the vertices of the square so formed.

→

How many 4-letter codes can be formed using the first 10 letters of the English alphabet, if no letter can be repeated?

→

Find the coordinates of the foci, and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.
$\frac{{{y^2}}}{9} - \frac{{{x^2}}}{{27}} = 1$

→

Find the number of permutations of n distinct things taken r together, in which 3 particular things must occur together.